12779110152 has 160 divisors (see below), whose sum is σ = 36600854400. Its totient is φ = 4164690816.

The previous prime is 12779110139. The next prime is 12779110199. The reversal of 12779110152 is 25101197721.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5476378 + ... + 5478710.

It is an arithmetic number, because the mean of its divisors is an integer number (228755340).

Almost surely, 2^12779110152 is an apocalyptic number.

12779110152 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 12779110152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300427200).

12779110152 is an abundant number, since it is smaller than the sum of its proper divisors (23821744248).

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

12779110152 is a wasteful number, since it uses less digits than its factorization.

12779110152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 36.

The spelling of 12779110152 in words is "twelve billion, seven hundred seventy-nine million, one hundred ten thousand, one hundred fifty-two".