12879987120 has 1920 divisors, whose sum is σ = 64975841280. Its totient is φ = 2299207680.

The previous prime is 12879987091. The next prime is 12879987163. The reversal of 12879987120 is 2178997821.

It is a super-2 number, since 2×12879987120² (a number of 21 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 348107742 + ... + 348107778.

It is an arithmetic number, because the mean of its divisors is an integer number (33841584).

Almost surely, 2^12879987120 is an apocalyptic number.

12879987120 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 12879987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487920640).

12879987120 is an abundant number, since it is smaller than the sum of its proper divisors (52095854160).

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

12879987120 is a wasteful number, since it uses less digits than its factorization.

12879987120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

It can be divided in two parts, 12879 and 987120, that added together give a palindrome (999999).

The spelling of 12879987120 in words is "twelve billion, eight hundred seventy-nine million, nine hundred eighty-seven thousand, one hundred twenty".