122001211000992 has 48 divisors (see below), whose sum is σ = 334177230139200. Its totient is φ = 38898936840192.

The previous prime is 122001211000951. The next prime is 122001211001003. The reversal of 122001211000992 is 299000112100221.

It is a tau number, because it is divible by the number of its divisors (48).

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, 27627083617 + ... + 27627088032.

It is an arithmetic number, because the mean of its divisors is an integer number (6962025627900).

Almost surely, 2^{122001211000992} is an apocalyptic number.

122001211000992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001211000992 is an abundant number, since it is smaller than the sum of its proper divisors (212176019138208).

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

122001211000992 is a wasteful number, since it uses less digits than its factorization.

122001211000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55254171685 (or 55254171677 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 122001211000992 in words is "one hundred twenty-two trillion, one billion, two hundred eleven million, nine hundred ninety-two", and thus it is an aban number.