122995120896 has 288 divisors, whose sum is σ = 380395921920. Its totient is φ = 39126675456.

The previous prime is 122995120879. The next prime is 122995120931. The reversal of 122995120896 is 698021599221.

122995120896 is a `hidden beast` number, since 12 + 29 + 9 + 512 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 135606075 + ... + 135606981.

Almost surely, 2^122995120896 is an apocalyptic number.

122995120896 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 122995120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190197960960).

122995120896 is an abundant number, since it is smaller than the sum of its proper divisors (257400801024).

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

122995120896 is an equidigital number, since it uses as much as digits as its factorization.

122995120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 122995120896 in words is "one hundred twenty-two billion, nine hundred ninety-five million, one hundred twenty thousand, eight hundred ninety-six".