122315244031200 has 144 divisors (see below), whose sum is σ = 434330312080896. Its totient is φ = 29652180364800.

The previous prime is 122315244031181. The next prime is 122315244031219. The reversal of 122315244031200 is 2130442513221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122315244031181) and next prime (122315244031219).

It is a super-2 number, since 2×122315244031200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316550192 + ... + 2316602991.

It is an arithmetic number, because the mean of its divisors is an integer number (3016182722784).

Almost surely, 2^{122315244031200} is an apocalyptic number.

122315244031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122315244031200 is an abundant number, since it is smaller than the sum of its proper divisors (312015068049696).

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

122315244031200 is a wasteful number, since it uses less digits than its factorization.

122315244031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633153217 (or 4633153204 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 122315244031200 its reverse (2130442513221), we get a palindrome (124445686544421).

The spelling of 122315244031200 in words is "one hundred twenty-two trillion, three hundred fifteen billion, two hundred forty-four million, thirty-one thousand, two hundred".