122931200 has 180 divisors, whose sum is σ = 355572945. Its totient is φ = 42147840.

The previous prime is 122931187. The next prime is 122931209. The reversal of 122931200 is 2139221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 2458624 = 10976^2 + 1568^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7840.

It is a super-2 number, since 2×122931200² = 30224159866880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122931209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17561597 + ... + 17561603.

Almost surely, 2^122931200 is an apocalyptic number.

122931200 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 122931200

122931200 is an abundant number, since it is smaller than the sum of its proper divisors (232641745).

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

122931200 is an frugal number, since it uses more digits than its factorization.

122931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122931200 is about 11087.4343290051. The cubic root of 122931200 is about 497.2262409759.

The spelling of 122931200 in words is "one hundred twenty-two million, nine hundred thirty-one thousand, two hundred".