12884268720 has 160 divisors (see below), whose sum is σ = 42984838080. Its totient is φ = 3180625920.

The previous prime is 12884268689. The next prime is 12884268721. The reversal of 12884268720 is 2786248821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12884268720.

It is not an unprimeable number, because it can be changed into a prime (12884268721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222996 + ... + 274764.

It is an arithmetic number, because the mean of its divisors is an integer number (268655238).

Almost surely, 2^12884268720 is an apocalyptic number.

12884268720 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 12884268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21492419040).

12884268720 is an abundant number, since it is smaller than the sum of its proper divisors (30100569360).

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

12884268720 is a wasteful number, since it uses less digits than its factorization.

12884268720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51863 (or 51857 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 12884268720 in words is "twelve billion, eight hundred eighty-four million, two hundred sixty-eight thousand, seven hundred twenty".