122372100 has 144 divisors (see below), whose sum is σ = 400391040. Its totient is φ = 32054400.

The previous prime is 122372093. The next prime is 122372101. The reversal of 122372100 is 1273221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122372101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164329 + ... + 165071.

Almost surely, 2^122372100 is an apocalyptic number.

122372100 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 122372100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200195520).

122372100 is an abundant number, since it is smaller than the sum of its proper divisors (278018940).

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

122372100 is a wasteful number, since it uses less digits than its factorization.

122372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122372100 is about 11062.1923686040. The cubic root of 122372100 is about 496.4712883060.

The spelling of 122372100 in words is "one hundred twenty-two million, three hundred seventy-two thousand, one hundred".