122323131013200 has 120 divisors (see below), whose sum is σ = 421983437143968. Its totient is φ = 30110309168640.

The previous prime is 122323131013183. The next prime is 122323131013241. The reversal of 122323131013200 is 2310131323221.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3920597574 + ... + 3920628773.

Almost surely, 2^{122323131013200} is an apocalyptic number.

122323131013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122323131013200 is an abundant number, since it is smaller than the sum of its proper divisors (299660306130768).

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

122323131013200 is a wasteful number, since it uses less digits than its factorization.

122323131013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841226381 (or 7841226370 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122323131013200 its reverse (2310131323221), we get a palindrome (124633262336421).

The spelling of 122323131013200 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, one hundred thirty-one million, thirteen thousand, two hundred".