122608800 has 108 divisors (see below), whose sum is σ = 432374670. Its totient is φ = 32693760.

The previous prime is 122608799. The next prime is 122608807. The reversal of 122608800 is 8806221.

It can be written as a sum of positive squares in 3 ways, for example, as 106254864 + 16353936 = 10308^2 + 4044^2 .

It is not an unprimeable number, because it can be changed into a prime (122608807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1315 + ... + 15714.

Almost surely, 2^122608800 is an apocalyptic number.

122608800 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 122608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216187335).

122608800 is an abundant number, since it is smaller than the sum of its proper divisors (309765870).

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

122608800 is a wasteful number, since it uses less digits than its factorization.

122608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17055 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122608800 is about 11072.8858027165. The cubic root of 122608800 is about 496.7911843909.

The spelling of 122608800 in words is "one hundred twenty-two million, six hundred eight thousand, eight hundred".