122364100 has 36 divisors (see below), whose sum is σ = 267194704. Its totient is φ = 48638880.

The previous prime is 122364097. The next prime is 122364101. The reversal of 122364100 is 1463221.

It is not an unprimeable number, because it can be changed into a prime (122364101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12547 + ... + 20053.

Almost surely, 2^122364100 is an apocalyptic number.

122364100 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 122364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133597352).

122364100 is an abundant number, since it is smaller than the sum of its proper divisors (144830604).

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

122364100 is a wasteful number, since it uses less digits than its factorization.

122364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 122364100 is about 11061.8307707178. The cubic root of 122364100 is about 496.4604692362.

The spelling of 122364100 in words is "one hundred twenty-two million, three hundred sixty-four thousand, one hundred".