122961872 has 60 divisors (see below), whose sum is σ = 268920288. Its totient is φ = 54014400.

The previous prime is 122961869. The next prime is 122961877. The reversal of 122961872 is 278169221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122961877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168773 + ... + 169499.

Almost surely, 2^122961872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122961872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134460144).

122961872 is an abundant number, since it is smaller than the sum of its proper divisors (145958416).

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

122961872 is a wasteful number, since it uses less digits than its factorization.

122961872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 771 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 122961872 is about 11088.8174301861. The cubic root of 122961872 is about 497.2675910835.

The spelling of 122961872 in words is "one hundred twenty-two million, nine hundred sixty-one thousand, eight hundred seventy-two".