122131223311200 has 144 divisors (see below), whose sum is σ = 397543869470160. Its totient is φ = 32567774238720.

The previous prime is 122131223311199. The next prime is 122131223311213. The reversal of 122131223311200 is 2113322131221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 152502222 + ... + 153300978.

It is an arithmetic number, because the mean of its divisors is an integer number (2760721315765).

Almost surely, 2^{122131223311200} is an apocalyptic number.

122131223311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131223311200 is an abundant number, since it is smaller than the sum of its proper divisors (275412646158960).

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

122131223311200 is a wasteful number, since it uses less digits than its factorization.

122131223311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862489 (or 862476 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122131223311200 its reverse (2113322131221), we get a palindrome (124244545442421).

The spelling of 122131223311200 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred twenty-three million, three hundred eleven thousand, two hundred".