122116872 has 32 divisors (see below), whose sum is σ = 313545600. Its totient is φ = 39605184.

The previous prime is 122116859. The next prime is 122116873. The reversal of 122116872 is 278611221.

It is not an unprimeable number, because it can be changed into a prime (122116873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67872 + ... + 69647.

It is an arithmetic number, because the mean of its divisors is an integer number (9798300).

Almost surely, 2^122116872 is an apocalyptic number.

122116872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122116872 is an abundant number, since it is smaller than the sum of its proper divisors (191428728).

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

122116872 is a wasteful number, since it uses less digits than its factorization.

122116872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137565 (or 137561 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 122116872 is about 11050.6502976069. The cubic root of 122116872 is about 496.1258893947.

The spelling of 122116872 in words is "one hundred twenty-two million, one hundred sixteen thousand, eight hundred seventy-two".