122133012313032 has 288 divisors, whose sum is σ = 398147402835000. Its totient is φ = 33683589144576.

The previous prime is 122133012313021. The next prime is 122133012313087. The reversal of 122133012313032 is 230313210331221.

122133012313032 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 330 + 1 + 23 + 1 + 303 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109877229630756 + 12255782682276 = 10482234^2 + 3500826^2 .

It is a super-2 number, since 2×122133012313032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122133012312987 and 122133012313005.

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 71 ways as a sum of consecutive naturals, for example, 422301694 + ... + 422590802.

Almost surely, 2^{122133012313032} is an apocalyptic number.

122133012313032 is a gapful number since it is divisible by the number (12) 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 122133012313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199073701417500).

122133012313032 is an abundant number, since it is smaller than the sum of its proper divisors (276014390521968).

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

122133012313032 is a wasteful number, since it uses less digits than its factorization.

122133012313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293293 (or 293279 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122133012313032 its reverse (230313210331221), we get a palindrome (352446222644253).

The spelling of 122133012313032 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, twelve million, three hundred thirteen thousand, thirty-two".