122415228000 has 576 divisors, whose sum is σ = 473288961600. Its totient is φ = 29784268800.

The previous prime is 122415227989. The next prime is 122415228017. The reversal of 122415228000 is 822514221.

122415228000 is a `hidden beast` number, since 1 + 22 + 41 + 522 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41650531 + ... + 41653469.

It is an arithmetic number, because the mean of its divisors is an integer number (821682225).

Almost surely, 2^122415228000 is an apocalyptic number.

122415228000 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 122415228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236644480800).

122415228000 is an abundant number, since it is smaller than the sum of its proper divisors (350873733600).

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

122415228000 is a wasteful number, since it uses less digits than its factorization.

122415228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 122415228000 in words is "one hundred twenty-two billion, four hundred fifteen million, two hundred twenty-eight thousand".