122991372 has 180 divisors, whose sum is σ = 383142144. Its totient is φ = 34292160.

The previous prime is 122991359. The next prime is 122991443. The reversal of 122991372 is 273199221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 968373 + ... + 968499.

Almost surely, 2^122991372 is an apocalyptic number.

122991372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122991372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191571072).

122991372 is an abundant number, since it is smaller than the sum of its proper divisors (260150772).

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

122991372 is a wasteful number, since it uses less digits than its factorization.

122991372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 122991372 is about 11090.1475193074. The cubic root of 122991372 is about 497.3073546859.

The spelling of 122991372 in words is "one hundred twenty-two million, nine hundred ninety-one thousand, three hundred seventy-two".