122677632 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 31795200.

The previous prime is 122677619. The next prime is 122677651. The reversal of 122677632 is 236776221.

It is a happy number.

122677632 is a `hidden beast` number, since 12 + 2 + 6 + 7 + 7 + 632 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265882 + ... + 266342.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^122677632 is an apocalyptic number.

122677632 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 122677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

122677632 is an abundant number, since it is smaller than the sum of its proper divisors (329712768).

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

122677632 is a wasteful number, since it uses less digits than its factorization.

122677632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 122677632 is about 11075.9934994564. The cubic root of 122677632 is about 496.8841324060.

The spelling of 122677632 in words is "one hundred twenty-two million, six hundred seventy-seven thousand, six hundred thirty-two".