122652901324800 has 6912 divisors, whose sum is σ = 608361062400000. Its totient is φ = 23332080844800.

The previous prime is 122652901324783. The next prime is 122652901324801. The reversal of 122652901324800 is 8423109256221.

122652901324800 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 52 + 90 + 1 + 32 + 480 + 0 = 666.

122652901324800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122652901324800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122652901324801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1552568371161 + ... + 1552568371239.

It is an arithmetic number, because the mean of its divisors is an integer number (88015200000).

Almost surely, 2^{122652901324800} is an apocalyptic number.

122652901324800 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 122652901324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304180531200000).

122652901324800 is an abundant number, since it is smaller than the sum of its proper divisors (485708161075200).

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

122652901324800 is a wasteful number, since it uses less digits than its factorization.

122652901324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 122652901324800 in words is "one hundred twenty-two trillion, six hundred fifty-two billion, nine hundred one million, three hundred twenty-four thousand, eight hundred".