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122025130013040 = 24353607749918797
BaseRepresentation
bin11011101111101100110000…
…100001110011000101110000
3121000001111012010011211002020
4123233230300201303011300
5111443224431240404130
61111305323145151440
734463011322240322
oct3357546041630560
9530044163154066
10122025130013040
1135976626781811
121182935518b580
135311bc7118c37
14221c09526b612
15e19248937e10
hex6efb30873170

122025130013040 has 160 divisors (see below), whose sum is σ = 378453366720000. Its totient is φ = 32524944847872.

The previous prime is 122025130012999. The next prime is 122025130013041. The reversal of 122025130013040 is 40310031520221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122025130013040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122025130013041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6491724922 + ... + 6491743718.

It is an arithmetic number, because the mean of its divisors is an integer number (2365333542000).

Almost surely, 2122025130013040 is an apocalyptic number.

122025130013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122025130013040 is an abundant number, since it is smaller than the sum of its proper divisors (256428236706960).

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

122025130013040 is a wasteful number, since it uses less digits than its factorization.

122025130013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29919 (or 29913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 122025130013040 its reverse (40310031520221), we get a palindrome (162335161533261).

The spelling of 122025130013040 in words is "one hundred twenty-two trillion, twenty-five billion, one hundred thirty million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3607 7214 7499 10821 14428 14998 18035 18797 21642 22497 28856 29996 36070 37495 37594 43284 44994 54105 56391 57712 59992 72140 74990 75188 86568 89988 93985 108210 112485 112782 119984 144280 149980 150376 173136 179976 187970 216420 224970 225564 281955 288560 299960 300752 359952 375940 432840 449940 451128 563910 599920 751880 865680 899880 902256 1127820 1503760 1799760 2255640 4511280 27048893 54097786 67800779 81146679 108195572 135244465 135601558 140958703 162293358 203402337 216391144 270488930 271203116 281917406 324586716 339003895 405733395 406804674 422876109 432782288 540977860 542406232 563834812 649173432 678007790 704793515 811466790 813609348 845752218 1017011685 1081955720 1084812464 1127669624 1298346864 1356015580 1409587030 1622933580 1627218696 1691504436 2034023370 2114380545 2163911440 2255339248 2712031160 2819174060 3245867160 3254437392 3383008872 4068046740 4228761090 5424062320 5638348120 6491734320 6766017744 8136093480 8457522180 11276696240 16272186960 16915044360 33830088720 508438041721 1016876083442 1525314125163 2033752166884 2542190208605 3050628250326 4067504333768 5084380417210 6101256500652 7626570625815 8135008667536 10168760834420 12202513001304 15253141251630 20337521668840 24405026002608 30506282503260 40675043337680 61012565006520 122025130013040