122544900 has 189 divisors, whose sum is σ = 408662863. Its totient is φ = 31881600.

The previous prime is 122544871. The next prime is 122544911. The reversal of 122544900 is 9445221.

The square root of 122544900 is 11070.

It is a perfect power (a square), and thus also a powerful number.

122544900 is a `hidden beast` number, since 122 + 54 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51581124 + 70963776 = 7182^2 + 8424^2 .

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

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 2988880 + ... + 2988920.

Almost surely, 2^122544900 is an apocalyptic number.

122544900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122544900 is the 11070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122544900

122544900 is an abundant number, since it is smaller than the sum of its proper divisors (286117963).

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

122544900 is an equidigital number, since it uses as much as digits as its factorization.

122544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 122544900 is about 496.7048652112.

The spelling of 122544900 in words is "one hundred twenty-two million, five hundred forty-four thousand, nine hundred".