122611292800120 has 32 divisors (see below), whose sum is σ = 275875774697520. Its totient is φ = 49044452071680.

The previous prime is 122611292800111. The next prime is 122611292800153. The reversal of 122611292800120 is 21008292116221.

It is a self number, because there is not a number n which added to its sum of digits gives 122611292800120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38462500 + ... + 41528140.

Almost surely, 2^{122611292800120} is an apocalyptic number.

122611292800120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122611292800120 is an abundant number, since it is smaller than the sum of its proper divisors (153264481897400).

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

122611292800120 is a wasteful number, since it uses less digits than its factorization.

122611292800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065535 (or 4065531 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 122611292800120 in words is "one hundred twenty-two trillion, six hundred eleven billion, two hundred ninety-two million, eight hundred thousand, one hundred twenty".