12651431520 has 768 divisors, whose sum is σ = 52428902400. Its totient is φ = 2543321088.

The previous prime is 12651431509. The next prime is 12651431539. The reversal of 12651431520 is 2513415621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49227232 + ... + 49227488.

It is an arithmetic number, because the mean of its divisors is an integer number (68266800).

Almost surely, 2^12651431520 is an apocalyptic number.

12651431520 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 12651431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214451200).

12651431520 is an abundant number, since it is smaller than the sum of its proper divisors (39777470880).

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

12651431520 is a wasteful number, since it uses less digits than its factorization.

12651431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 12651431520 in words is "twelve billion, six hundred fifty-one million, four hundred thirty-one thousand, five hundred twenty".