122878512 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 38446848.

The previous prime is 122878507. The next prime is 122878523. The reversal of 122878512 is 215878221.

It is a super-2 number, since 2×122878512² = 30198257422668288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 824614 + ... + 824762.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^122878512 is an apocalyptic number.

122878512 is a gapful number since it is divisible by the number (12) 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 122878512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

122878512 is an abundant number, since it is smaller than the sum of its proper divisors (252097488).

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

122878512 is a wasteful number, since it uses less digits than its factorization.

122878512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 122878512 is about 11085.0580512688. The cubic root of 122878512 is about 497.1551941902.

The spelling of 122878512 in words is "one hundred twenty-two million, eight hundred seventy-eight thousand, five hundred twelve".