122233795200 has 960 divisors, whose sum is σ = 504024570720. Its totient is φ = 28914278400.

The previous prime is 122233795183. The next prime is 122233795207. The reversal of 122233795200 is 2597332221.

It is a happy number.

122233795200 is a `hidden beast` number, since 12 + 22 + 33 + 79 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×122233795200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122233795207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122601102 + ... + 122602098.

Almost surely, 2^122233795200 is an apocalyptic number.

122233795200 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 122233795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252012285360).

122233795200 is an abundant number, since it is smaller than the sum of its proper divisors (381790775520).

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

122233795200 is a wasteful number, since it uses less digits than its factorization.

122233795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 122233795200 in words is "one hundred twenty-two billion, two hundred thirty-three million, seven hundred ninety-five thousand, two hundred".