122057234878656 has 672 divisors, whose sum is σ = 436974738407424. Its totient is φ = 29346532300800.

The previous prime is 122057234878643. The next prime is 122057234878693. The reversal of 122057234878656 is 656878432750221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115424581 + ... + 116477243.

It is an arithmetic number, because the mean of its divisors is an integer number (650260027392).

Almost surely, 2^{122057234878656} is an apocalyptic number.

122057234878656 is a gapful number since it is divisible by the number (16) 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 122057234878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218487369203712).

122057234878656 is an abundant number, since it is smaller than the sum of its proper divisors (314917503528768).

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

122057234878656 is a wasteful number, since it uses less digits than its factorization.

122057234878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052761 (or 1052740 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 66.

The spelling of 122057234878656 in words is "one hundred twenty-two trillion, fifty-seven billion, two hundred thirty-four million, eight hundred seventy-eight thousand, six hundred fifty-six".