122899780968960 has 320 divisors, whose sum is σ = 396595035936000. Its totient is φ = 32466097078272.

The previous prime is 122899780968929. The next prime is 122899780969051. The reversal of 122899780968960 is 69869087998221.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349809702 + ... + 350160858.

It is an arithmetic number, because the mean of its divisors is an integer number (1239359487300).

Almost surely, 2^{122899780968960} is an apocalyptic number.

122899780968960 is a gapful number since it is divisible by the number (10) 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 122899780968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198297517968000).

122899780968960 is an abundant number, since it is smaller than the sum of its proper divisors (273695254967040).

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

122899780968960 is a wasteful number, since it uses less digits than its factorization.

122899780968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351611 (or 351595 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 84.

The spelling of 122899780968960 in words is "one hundred twenty-two trillion, eight hundred ninety-nine billion, seven hundred eighty million, nine hundred sixty-eight thousand, nine hundred sixty".