122625484800 has 1152 divisors, whose sum is σ = 516846919680. Its totient is φ = 24949555200.

The previous prime is 122625484781. The next prime is 122625484801. The reversal of 122625484800 is 8484526221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (122625484801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433305459 + ... + 433305741.

It is an arithmetic number, because the mean of its divisors is an integer number (448651840).

Almost surely, 2^122625484800 is an apocalyptic number.

122625484800 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 122625484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258423459840).

122625484800 is an abundant number, since it is smaller than the sum of its proper divisors (394221434880).

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

122625484800 is a wasteful number, since it uses less digits than its factorization.

122625484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 122625484800 in words is "one hundred twenty-two billion, six hundred twenty-five million, four hundred eighty-four thousand, eight hundred".