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122232130131120 = 24358339291561759
BaseRepresentation
bin11011110010101101100010…
…101100100101010010110000
3121000210021111022102100100020
4123302231202230211102300
5112010122400303143440
61111544355420123440
734513660063225002
oct3362554254452260
9530707438370306
10122232130131120
1135a4639a968269
12118614a5096580
1353285957829c9
1422280d0cda372
15e1e8116eb3d0
hex6f2b62b254b0

122232130131120 has 160 divisors (see below), whose sum is σ = 383582749132800. Its totient is φ = 32194304305152.

The previous prime is 122232130131079. The next prime is 122232130131149. The reversal of 122232130131120 is 21131031232221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77484801 + ... + 79046559.

It is an arithmetic number, because the mean of its divisors is an integer number (2397392182080).

Almost surely, 2122232130131120 is an apocalyptic number.

122232130131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232130131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191791374566400).

122232130131120 is an abundant number, since it is smaller than the sum of its proper divisors (261350619001680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122232130131120 is a wasteful number, since it uses less digits than its factorization.

122232130131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565787 (or 1565781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122232130131120 its reverse (21131031232221), we get a palindrome (143363161363341).

The spelling of 122232130131120 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3929 3984 4980 6640 7858 9960 11787 15716 19645 19920 23574 31432 39290 47148 58935 62864 78580 94296 117870 157160 188592 235740 314320 326107 471480 652214 942960 978321 1304428 1561759 1630535 1956642 2608856 3123518 3261070 3913284 4685277 4891605 5217712 6247036 6522140 7808795 7826568 9370554 9783210 12494072 13044280 15617590 15653136 18741108 19566420 23426385 24988144 26088560 31235180 37482216 39132840 46852770 62470360 74964432 78265680 93705540 124940720 129625997 187411080 259251994 374822160 388877991 518503988 648129985 777755982 1037007976 1296259970 1555511964 1944389955 2074015952 2592519940 3111023928 3888779910 5185039880 6136151111 6222047856 7777559820 10370079760 12272302222 15555119640 18408453333 24544604444 30680755555 31110239280 36816906666 49089208888 61361511110 73633813332 92042266665 98178417776 122723022220 147267626664 184084533330 245446044440 294535253328 368169066660 490892088880 509300542213 736338133320 1018601084426 1472676266640 1527901626639 2037202168852 2546502711065 3055803253278 4074404337704 5093005422130 6111606506556 7639508133195 8148808675408 10186010844260 12223213013112 15279016266390 20372021688520 24446426026224 30558032532780 40744043377040 61116065065560 122232130131120