122331044133312 has 84 divisors (see below), whose sum is σ = 376511236628040. Its totient is φ = 34951726892544.

The previous prime is 122331044133301. The next prime is 122331044133313. The reversal of 122331044133312 is 213331440133221.

122331044133312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331044133313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6501427887 + ... + 6501446702.

Almost surely, 2^{122331044133312} is an apocalyptic number.

122331044133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122331044133312 is an abundant number, since it is smaller than the sum of its proper divisors (254180192494728).

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

122331044133312 is a wasteful number, since it uses less digits than its factorization.

122331044133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002874618 (or 13002874601 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 122331044133312 its reverse (213331440133221), we get a palindrome (335662484266533).

The spelling of 122331044133312 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, forty-four million, one hundred thirty-three thousand, three hundred twelve".