12981430848 has 112 divisors (see below), whose sum is σ = 34851587904. Its totient is φ = 4263936000.

The previous prime is 12981430817. The next prime is 12981430883. The reversal of 12981430848 is 84803418921.

It is a happy number.

It is a super-2 number, since 2×12981430848² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12981430797 and 12981430806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4673236 + ... + 4676012.

It is an arithmetic number, because the mean of its divisors is an integer number (311174892).

Almost surely, 2^12981430848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12981430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425793952).

12981430848 is an abundant number, since it is smaller than the sum of its proper divisors (21870157056).

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

12981430848 is a wasteful number, since it uses less digits than its factorization.

12981430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 12981430848 in words is "twelve billion, nine hundred eighty-one million, four hundred thirty thousand, eight hundred forty-eight".