122872133538 has 486 divisors, whose sum is σ = 362329217523. Its totient is φ = 29981508480.

The previous prime is 122872133513. The next prime is 122872133557. The reversal of 122872133538 is 835331278221.

122872133538 is a `hidden beast` number, since 1 + 2 + 2 + 87 + 2 + 1 + 33 + 538 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 111727742049 + 11144391489 = 334257^2 + 105567^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247863.

It is a super-2 number, since 2×122872133538² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122872133493 and 122872133502.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3320868456 + ... + 3320868492.

Almost surely, 2^122872133538 is an apocalyptic number.

122872133538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122872133538

122872133538 is an abundant number, since it is smaller than the sum of its proper divisors (239457083985).

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

122872133538 is a wasteful number, since it uses less digits than its factorization.

122872133538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 89 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 122872133538 in words is "one hundred twenty-two billion, eight hundred seventy-two million, one hundred thirty-three thousand, five hundred thirty-eight".