122166900 has 72 divisors (see below), whose sum is σ = 392752640. Its totient is φ = 32577120.

The previous prime is 122166893. The next prime is 122166901. The reversal of 122166900 is 9661221.

It is a super-2 number, since 2×122166900² = 29849502911220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122166901) by changing a digit.

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, 19924 + ... + 25323.

Almost surely, 2^122166900 is an apocalyptic number.

122166900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122166900 is an abundant number, since it is smaller than the sum of its proper divisors (270585740).

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

122166900 is a wasteful number, since it uses less digits than its factorization.

122166900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45270 (or 45257 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 122166900 is about 11052.9136430174. The cubic root of 122166900 is about 496.1936299588.

It can be divided in two parts, 1221 and 66900, that added together give a square (68121 = 261²).

The spelling of 122166900 in words is "one hundred twenty-two million, one hundred sixty-six thousand, nine hundred".