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122325660132 = 223131933405659
BaseRepresentation
bin111000111101100101…
…1010111000111100100
3102200202002022101102220
41301323023113013210
54001010332111012
6132110131232340
711560225645434
oct1617313270744
9380662271386
10122325660132
1147972711a95
121b85a7486b0
13b6c5c75020
145cc61742c4
1532ae24508c
hex1c7b2d71e4

122325660132 has 48 divisors (see below), whose sum is σ = 307542204480. Its totient is φ = 37619100288.

The previous prime is 122325660131. The next prime is 122325660137. The reversal of 122325660132 is 231066523221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122325660093 and 122325660102.

It is not an unprimeable number, because it can be changed into a prime (122325660131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98719 + ... + 504377.

It is an arithmetic number, because the mean of its divisors is an integer number (6407129260).

Almost surely, 2122325660132 is an apocalyptic number.

122325660132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122325660132 is an abundant number, since it is smaller than the sum of its proper divisors (185216544348).

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

122325660132 is a wasteful number, since it uses less digits than its factorization.

122325660132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407612 (or 407610 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 122325660132 in words is "one hundred twenty-two billion, three hundred twenty-five million, six hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1933 3866 5799 7732 11598 23196 25129 50258 75387 100516 150774 301548 405659 811318 1216977 1622636 2433954 4867908 5273567 10547134 15820701 21094268 31641402 63282804 784138847 1568277694 2352416541 3136555388 4704833082 9409666164 10193805011 20387610022 30581415033 40775220044 61162830066 122325660132