88122957120 has 336 divisors, whose sum is σ = 350114177088. Its totient is φ = 20106362880.

The previous prime is 88122957119. The next prime is 88122957133. The reversal of 88122957120 is 2175922188.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 456747 + ... + 620373.

Almost surely, 2^88122957120 is an apocalyptic number.

88122957120 is a gapful number since it is divisible by the number (80) 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 88122957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175057088544).

88122957120 is an abundant number, since it is smaller than the sum of its proper divisors (261991219968).

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

88122957120 is a wasteful number, since it uses less digits than its factorization.

88122957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163678 (or 163665 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 88122957120 in words is "eighty-eight billion, one hundred twenty-two million, nine hundred fifty-seven thousand, one hundred twenty".