122131323232200 has 72 divisors (see below), whose sum is σ = 410157693860850. Its totient is φ = 32568352861440.

The previous prime is 122131323232133. The next prime is 122131323232229. The reversal of 122131323232200 is 2232323131221.

122131323232200 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 132 + 323 + 2 + 200 = 666.

122131323232200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 117564186660804 + 4567136571396 = 10842702^2 + 2137086^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×122131323232200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33925365765 + ... + 33925369364.

Almost surely, 2^{122131323232200} is an apocalyptic number.

122131323232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131323232200 is an abundant number, since it is smaller than the sum of its proper divisors (288026370628650).

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

122131323232200 is a wasteful number, since it uses less digits than its factorization.

122131323232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67850735151 (or 67850735139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122131323232200 its reverse (2232323131221), we get a palindrome (124363646363421).

The spelling of 122131323232200 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred thirty-two thousand, two hundred".