12451620360 has 256 divisors, whose sum is σ = 41004979200. Its totient is φ = 3013604352.

The previous prime is 12451620359. The next prime is 12451620413. The reversal of 12451620360 is 6302615421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5651019 + ... + 5653221.

It is an arithmetic number, because the mean of its divisors is an integer number (160175700).

Almost surely, 2^12451620360 is an apocalyptic number.

12451620360 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 12451620360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20502489600).

12451620360 is an abundant number, since it is smaller than the sum of its proper divisors (28553358840).

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

12451620360 is a wasteful number, since it uses less digits than its factorization.

12451620360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12451620360 in words is "twelve billion, four hundred fifty-one million, six hundred twenty thousand, three hundred sixty".