122625777376000 has 288 divisors, whose sum is σ = 307338373742400. Its totient is φ = 48752035430400.

The previous prime is 122625777375919. The next prime is 122625777376013. The reversal of 122625777376000 is 673777526221.

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, 4345489891 + ... + 4345518109.

It is an arithmetic number, because the mean of its divisors is an integer number (1067147131050).

Almost surely, 2^{122625777376000} is an apocalyptic number.

122625777376000 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 122625777376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153669186871200).

122625777376000 is an abundant number, since it is smaller than the sum of its proper divisors (184712596366400).

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

122625777376000 is an equidigital number, since it uses as much as digits as its factorization.

122625777376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072 (or 29048 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 55.

The spelling of 122625777376000 in words is "one hundred twenty-two trillion, six hundred twenty-five billion, seven hundred seventy-seven million, three hundred seventy-six thousand".