122704632 has 80 divisors (see below), whose sum is σ = 358673040. Its totient is φ = 39118464.

The previous prime is 122704573. The next prime is 122704643. The reversal of 122704632 is 236407221.

122704632 is a `hidden beast` number, since 1 + 2 + 27 + 0 + 4 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122704596 and 122704605.

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 19 ways as a sum of consecutive naturals, for example, 10788 + ... + 19020.

It is an arithmetic number, because the mean of its divisors is an integer number (4483413).

Almost surely, 2^122704632 is an apocalyptic number.

122704632 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 122704632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179336520).

122704632 is an abundant number, since it is smaller than the sum of its proper divisors (235968408).

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

122704632 is a wasteful number, since it uses less digits than its factorization.

122704632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122704632 is about 11077.2122846861. The cubic root of 122704632 is about 496.9205826462.

The spelling of 122704632 in words is "one hundred twenty-two million, seven hundred four thousand, six hundred thirty-two".