122076272400 has 120 divisors (see below), whose sum is σ = 414054061344. Its totient is φ = 30638745600.

The previous prime is 122076272399. The next prime is 122076272431. The reversal of 122076272400 is 4272670221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2971666 + ... + 3012465.

Almost surely, 2^122076272400 is an apocalyptic number.

122076272400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122076272400 is an abundant number, since it is smaller than the sum of its proper divisors (291977788944).

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

122076272400 is a wasteful number, since it uses less digits than its factorization.

122076272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984169 (or 5984158 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 122076272400 in words is "one hundred twenty-two billion, seventy-six million, two hundred seventy-two thousand, four hundred".