122628200 has 24 divisors (see below), whose sum is σ = 285111030. Its totient is φ = 49051200.

The previous prime is 122628199. The next prime is 122628229. The reversal of 122628200 is 2826221.

It can be written as a sum of positive squares in 3 ways, for example, as 76143076 + 46485124 = 8726^2 + 6818^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306371 + ... + 306770.

Almost surely, 2^122628200 is an apocalyptic number.

122628200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122628200 is an abundant number, since it is smaller than the sum of its proper divisors (162482830).

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

122628200 is a wasteful number, since it uses less digits than its factorization.

122628200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613157 (or 613148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 122628200 is about 11073.7617817975. The cubic root of 122628200 is about 496.8173849048.

The spelling of 122628200 in words is "one hundred twenty-two million, six hundred twenty-eight thousand, two hundred".