122896900 has 72 divisors (see below), whose sum is σ = 311091200. Its totient is φ = 42124320.

The previous prime is 122896871. The next prime is 122896909. The reversal of 122896900 is 9698221.

It is a super-2 number, since 2×122896900² = 30207296059220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122896900.

It is not an unprimeable number, because it can be changed into a prime (122896909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32509 + ... + 36091.

Almost surely, 2^122896900 is an apocalyptic number.

122896900 is a gapful number since it is divisible by the number (10) 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 122896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155545600).

122896900 is an abundant number, since it is smaller than the sum of its proper divisors (188194300).

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

122896900 is a wasteful number, since it uses less digits than its factorization.

122896900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 122896900 is about 11085.8874250102. The cubic root of 122896900 is about 497.1799916740.

The spelling of 122896900 in words is "one hundred twenty-two million, eight hundred ninety-six thousand, nine hundred".