122714839104000 has 1920 divisors, whose sum is σ = 499644698192640. Its totient is φ = 26511851520000.

The previous prime is 122714839103999. The next prime is 122714839104073. The reversal of 122714839104000 is 401938417221.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 8758456995 + ... + 8758471005.

It is an arithmetic number, because the mean of its divisors is an integer number (260231613642).

Almost surely, 2^{122714839104000} is an apocalyptic number.

122714839104000 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 122714839104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249822349096320).

122714839104000 is an abundant number, since it is smaller than the sum of its proper divisors (376929859088640).

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

122714839104000 is a wasteful number, since it uses less digits than its factorization.

122714839104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 122714839104000 in words is "one hundred twenty-two trillion, seven hundred fourteen billion, eight hundred thirty-nine million, one hundred four thousand".