12831678720 has 1152 divisors, whose sum is σ = 56512512000. Its totient is φ = 2694021120.

The previous prime is 12831678683. The next prime is 12831678721. The reversal of 12831678720 is 2787613821.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12831678721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217486051 + ... + 217486109.

It is an arithmetic number, because the mean of its divisors is an integer number (49056000).

Almost surely, 2^12831678720 is an apocalyptic number.

12831678720 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 12831678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28256256000).

12831678720 is an abundant number, since it is smaller than the sum of its proper divisors (43680833280).

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

12831678720 is a wasteful number, since it uses less digits than its factorization.

12831678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12831678720 in words is "twelve billion, eight hundred thirty-one million, six hundred seventy-eight thousand, seven hundred twenty".