122133133000120 has 64 divisors (see below), whose sum is σ = 303887920047840. Its totient is φ = 43803664128000.

The previous prime is 122133133000117. The next prime is 122133133000189. The reversal of 122133133000120 is 21000331331221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122133133000091 and 122133133000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1901168581 + ... + 1901232820.

Almost surely, 2^{122133133000120} is an apocalyptic number.

122133133000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133133000120 is an abundant number, since it is smaller than the sum of its proper divisors (181754787047720).

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

122133133000120 is a wasteful number, since it uses less digits than its factorization.

122133133000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802401496 (or 3802401492 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122133133000120 its reverse (21000331331221), we get a palindrome (143133464331341).

The spelling of 122133133000120 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred twenty", and thus it is an aban number.