122225753664 has 189 divisors, whose sum is σ = 407732034801. Its totient is φ = 34904862720.

The previous prime is 122225753647. The next prime is 122225753693. The reversal of 122225753664 is 466357522221.

The square root of 122225753664 is 349608.

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

122225753664 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 57 + 536 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46314483264 + 75911270400 = 215208^2 + 275520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58733104 + ... + 58735184.

Almost surely, 2^122225753664 is an apocalyptic number.

122225753664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122225753664 is the 349608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122225753664

122225753664 is an abundant number, since it is smaller than the sum of its proper divisors (285506281137).

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

122225753664 is an frugal number, since it uses more digits than its factorization.

122225753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2093 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 122225753664 in words is "one hundred twenty-two billion, two hundred twenty-five million, seven hundred fifty-three thousand, six hundred sixty-four".