12879013140 has 144 divisors (see below), whose sum is σ = 44703090432. Its totient is φ = 2940092928.

The previous prime is 12879013073. The next prime is 12879013151. The reversal of 12879013140 is 4131097821.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12879013095 and 12879013104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073857 + ... + 1085783.

It is an arithmetic number, because the mean of its divisors is an integer number (310438128).

Almost surely, 2^12879013140 is an apocalyptic number.

12879013140 is a gapful number since it is divisible by the number (10) 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 12879013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351545216).

12879013140 is an abundant number, since it is smaller than the sum of its proper divisors (31824077292).

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

12879013140 is a wasteful number, since it uses less digits than its factorization.

12879013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12806 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12879013140 in words is "twelve billion, eight hundred seventy-nine million, thirteen thousand, one hundred forty".