12870144000 has 1248 divisors, whose sum is σ = 58267497600. Its totient is φ = 2786918400.

The previous prime is 12870143999. The next prime is 12870144037. The reversal of 12870144000 is 44107821.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677375991 + ... + 677376009.

It is an arithmetic number, because the mean of its divisors is an integer number (46688700).

Almost surely, 2^12870144000 is an apocalyptic number.

12870144000 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 12870144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29133748800).

12870144000 is an abundant number, since it is smaller than the sum of its proper divisors (45397353600).

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

12870144000 is an equidigital number, since it uses as much as digits as its factorization.

12870144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12870144000 in words is "twelve billion, eight hundred seventy million, one hundred forty-four thousand".