122963328 has 48 divisors (see below), whose sum is σ = 353843100. Its totient is φ = 40987392.

The previous prime is 122963297. The next prime is 122963341. The reversal of 122963328 is 823369221.

122963328 is a `hidden beast` number, since 12 + 2 + 9 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 junction number, because it is equal to n+sod(n) for n = 122963292 and 122963301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52218 + ... + 54521.

Almost surely, 2^122963328 is an apocalyptic number.

122963328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122963328 is an abundant number, since it is smaller than the sum of its proper divisors (230879772).

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

122963328 is a wasteful number, since it uses less digits than its factorization.

122963328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106759 (or 106744 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 122963328 is about 11088.8830817175. The cubic root of 122963328 is about 497.2695538023.

The spelling of 122963328 in words is "one hundred twenty-two million, nine hundred sixty-three thousand, three hundred twenty-eight".