122638976 has 48 divisors (see below), whose sum is σ = 252708570. Its totient is φ = 59281920.

The previous prime is 122638973. The next prime is 122639009. The reversal of 122638976 is 679836221.

It can be written as a sum of positive squares in only one way, i.e., 84198976 + 38440000 = 9176^2 + 6200^2 .

It is not an unprimeable number, because it can be changed into a prime (122638973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122510 + ... + 123506.

Almost surely, 2^122638976 is an apocalyptic number.

122638976 is a gapful number since it is divisible by the number (16) 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 122638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126354285).

122638976 is an abundant number, since it is smaller than the sum of its proper divisors (130069594).

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

122638976 is an frugal number, since it uses more digits than its factorization.

122638976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1030 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 122638976 is about 11074.2483266360. The cubic root of 122638976 is about 496.8319371511.

The spelling of 122638976 in words is "one hundred twenty-two million, six hundred thirty-eight thousand, nine hundred seventy-six".