122721967296 has 336 divisors, whose sum is σ = 375889113600. Its totient is φ = 39681487872.

The previous prime is 122721967201. The next prime is 122721967327. The reversal of 122721967296 is 692769127221.

122721967296 is a `hidden beast` number, since 12 + 272 + 19 + 67 + 296 = 666.

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 Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72487026 + ... + 72488718.

It is an arithmetic number, because the mean of its divisors is an integer number (1118717600).

Almost surely, 2^122721967296 is an apocalyptic number.

122721967296 is a gapful number since it is divisible by the number (16) 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 122721967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187944556800).

122721967296 is an abundant number, since it is smaller than the sum of its proper divisors (253167146304).

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

122721967296 is an equidigital number, since it uses as much as digits as its factorization.

122721967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1836 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 122721967296 in words is "one hundred twenty-two billion, seven hundred twenty-one million, nine hundred sixty-seven thousand, two hundred ninety-six".