122144800 has 36 divisors (see below), whose sum is σ = 298187946. Its totient is φ = 48857600.

The previous prime is 122144797. The next prime is 122144821. The reversal of 122144800 is 8441221.

It can be written as a sum of positive squares in 3 ways, for example, as 105596176 + 16548624 = 10276^2 + 4068^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 75541 + ... + 77140.

Almost surely, 2^122144800 is an apocalyptic number.

122144800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122144800 is an abundant number, since it is smaller than the sum of its proper divisors (176043146).

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

122144800 is a wasteful number, since it uses less digits than its factorization.

122144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152701 (or 152688 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 122144800 is about 11051.9138614088. The cubic root of 122144800 is about 496.1637076679.

The spelling of 122144800 in words is "one hundred twenty-two million, one hundred forty-four thousand, eight hundred".