122887334727936 has 243 divisors, whose sum is σ = 356828210843013. Its totient is φ = 40673868318720.

The previous prime is 122887334727851. The next prime is 122887334727959. The reversal of 122887334727936 is 639727433788221.

The square root of 122887334727936 is 11085456.

It is a perfect power (a square), and thus also a powerful number.

122887334727936 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 8 + 7 + 3 + 347 + 279 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36020162822400 + 86867171905536 = 6001680^2 + 9320256^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83539995681 + ... + 83539997151.

Almost surely, 2^{122887334727936} is an apocalyptic number.

122887334727936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122887334727936 is the 11085456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122887334727936

122887334727936 is an abundant number, since it is smaller than the sum of its proper divisors (233940876115077).

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

122887334727936 is an frugal number, since it uses more digits than its factorization.

122887334727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 1633 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 122887334727936 in words is "one hundred twenty-two trillion, eight hundred eighty-seven billion, three hundred thirty-four million, seven hundred twenty-seven thousand, nine hundred thirty-six".