122277994272 has 576 divisors, whose sum is σ = 418936976640. Its totient is φ = 33108590592.

The previous prime is 122277994261. The next prime is 122277994283. The reversal of 122277994272 is 272499772221.

122277994272 is a `hidden beast` number, since 12 + 2 + 277 + 9 + 94 + 272 = 666.

122277994272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122277994261) and next prime (122277994283).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750171663 + ... + 750171825.

It is an arithmetic number, because the mean of its divisors is an integer number (727321140).

Almost surely, 2^122277994272 is an apocalyptic number.

122277994272 is a gapful number since it is divisible by the number (12) 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 122277994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209468488320).

122277994272 is an abundant number, since it is smaller than the sum of its proper divisors (296658982368).

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

122277994272 is a wasteful number, since it uses less digits than its factorization.

122277994272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 122277994272 in words is "one hundred twenty-two billion, two hundred seventy-seven million, nine hundred ninety-four thousand, two hundred seventy-two".