122164782256 has 80 divisors (see below), whose sum is σ = 273234083328. Its totient is φ = 52366899200.

The previous prime is 122164782247. The next prime is 122164782263. The reversal of 122164782256 is 652287461221.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 15 ways as a sum of consecutive naturals, for example, 74880 + ... + 499936.

Almost surely, 2^122164782256 is an apocalyptic number.

122164782256 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 122164782256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136617041664).

122164782256 is an abundant number, since it is smaller than the sum of its proper divisors (151069301072).

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

122164782256 is a wasteful number, since it uses less digits than its factorization.

122164782256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425170 (or 425164 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The spelling of 122164782256 in words is "one hundred twenty-two billion, one hundred sixty-four million, seven hundred eighty-two thousand, two hundred fifty-six".