122882393088 has 1056 divisors, whose sum is σ = 478611526400. Its totient is φ = 30502158336.

The previous prime is 122882393077. The next prime is 122882393131. The reversal of 122882393088 is 880393288221.

It is a happy number.

122882393088 is a `hidden beast` number, since 1 + 22 + 88 + 239 + 308 + 8 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 7228376056 + ... + 7228376072.

Almost surely, 2^122882393088 is an apocalyptic number.

122882393088 is a gapful number since it is divisible by the number (18) 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 122882393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239305763200).

122882393088 is an abundant number, since it is smaller than the sum of its proper divisors (355729133312).

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

122882393088 is an equidigital number, since it uses as much as digits as its factorization.

122882393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 122882393088 in words is "one hundred twenty-two billion, eight hundred eighty-two million, three hundred ninety-three thousand, eighty-eight".