122527468400 has 60 divisors (see below), whose sum is σ = 302328285912. Its totient is φ = 47686360320.

The previous prime is 122527468367. The next prime is 122527468409. The reversal of 122527468400 is 4864725221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122527468409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4124642 + ... + 4154241.

Almost surely, 2^122527468400 is an apocalyptic number.

122527468400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122527468400 is an abundant number, since it is smaller than the sum of its proper divisors (179800817512).

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

122527468400 is a wasteful number, since it uses less digits than its factorization.

122527468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278938 (or 8278927 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 122527468400 in words is "one hundred twenty-two billion, five hundred twenty-seven million, four hundred sixty-eight thousand, four hundred".