122725100 has 72 divisors (see below), whose sum is σ = 278888400. Its totient is φ = 46816000.

The previous prime is 122725087. The next prime is 122725111. The reversal of 122725100 is 1527221.

It is a super-2 number, since 2×122725100² = 30122900340020000, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 292691 + ... + 293109.

It is an arithmetic number, because the mean of its divisors is an integer number (3873450).

Almost surely, 2^122725100 is an apocalyptic number.

122725100 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 122725100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139444200).

122725100 is an abundant number, since it is smaller than the sum of its proper divisors (156163300).

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

122725100 is a wasteful number, since it uses less digits than its factorization.

122725100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 122725100 is about 11078.1361248181. The cubic root of 122725100 is about 496.9482110654.

The spelling of 122725100 in words is "one hundred twenty-two million, seven hundred twenty-five thousand, one hundred".