122371632 has 120 divisors (see below), whose sum is σ = 359024640. Its totient is φ = 38862720.

The previous prime is 122371621. The next prime is 122371633. The reversal of 122371632 is 236173221.

122371632 is a `hidden beast` number, since 1 + 2 + 23 + 7 + 1 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122371596 and 122371605.

It is not an unprimeable number, because it can be changed into a prime (122371633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352483 + ... + 352829.

It is an arithmetic number, because the mean of its divisors is an integer number (2991872).

Almost surely, 2^122371632 is an apocalyptic number.

122371632 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 122371632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179512320).

122371632 is an abundant number, since it is smaller than the sum of its proper divisors (236653008).

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

122371632 is a wasteful number, since it uses less digits than its factorization.

122371632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 122371632 is about 11062.1712154531. The cubic root of 122371632 is about 496.4706554034.

The spelling of 122371632 in words is "one hundred twenty-two million, three hundred seventy-one thousand, six hundred thirty-two".