122100211132032 has 128 divisors (see below), whose sum is σ = 371338985571840. Its totient is φ = 34821997636608.

The previous prime is 122100211131991. The next prime is 122100211132033. The reversal of 122100211132032 is 230231112001221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122100211132032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (122100211132033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40050858 + ... + 42991529.

It is an arithmetic number, because the mean of its divisors is an integer number (2901085824780).

Almost surely, 2^{122100211132032} is an apocalyptic number.

122100211132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100211132032 is an abundant number, since it is smaller than the sum of its proper divisors (249238774439808).

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

122100211132032 is an equidigital number, since it uses as much as digits as its factorization.

122100211132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83042958 (or 83042946 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122100211132032 its reverse (230231112001221), we get a palindrome (352331323133253).

The spelling of 122100211132032 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred thirty-two thousand, thirty-two".