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122162421680 = 24513315964223
BaseRepresentation
bin111000111000101110…
…0101001111110110000
3102200022201011000101022
41301301130221332300
54000142034443210
6132042020355012
711553204310535
oct1616134517660
9380281130338
10122162421680
1147899558582
121b813b45a68
13b69b1bc520
145cac600d8c
15329ec4d155
hex1c71729fb0

122162421680 has 160 divisors (see below), whose sum is σ = 321099448320. Its totient is φ = 42910571520.

The previous prime is 122162421637. The next prime is 122162421691. The reversal of 122162421680 is 86124261221.

It is a self number, because there is not a number n which added to its sum of digits gives 122162421680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1870049 + ... + 1934271.

It is an arithmetic number, because the mean of its divisors is an integer number (2006871552).

Almost surely, 2122162421680 is an apocalyptic number.

122162421680 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 122162421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160549724160).

122162421680 is an abundant number, since it is smaller than the sum of its proper divisors (198937026640).

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

122162421680 is a wasteful number, since it uses less digits than its factorization.

122162421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64339 (or 64333 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 122162421680 in words is "one hundred twenty-two billion, one hundred sixty-two million, four hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 59 62 65 80 104 118 124 130 155 208 236 248 260 295 310 403 472 496 520 590 620 767 806 944 1040 1180 1240 1534 1612 1829 2015 2360 2480 3068 3224 3658 3835 4030 4720 6136 6448 7316 7670 8060 9145 12272 14632 15340 16120 18290 23777 29264 30680 32240 36580 47554 61360 64223 73160 95108 118885 128446 146320 190216 237770 256892 321115 380432 475540 513784 642230 834899 951080 1027568 1284460 1669798 1902160 1990913 2568920 3339596 3789157 3981826 4174495 5137840 6679192 7578314 7963652 8348990 9954565 13358384 15156628 15927304 16697980 18945785 19909130 25881869 30313256 31854608 33395960 37891570 39818260 49259041 51763738 60626512 66791920 75783140 79636520 98518082 103527476 117463867 129409345 151566280 159273040 197036164 207054952 234927734 246295205 258818690 303132560 394072328 414109904 469855468 492590410 517637380 587319335 788144656 939710936 985180820 1035274760 1174638670 1527030271 1879421872 1970361640 2070549520 2349277340 3054060542 3940723280 4698554680 6108121084 7635151355 9397109360 12216242168 15270302710 24432484336 30540605420 61081210840 122162421680