12574168000 has 224 divisors, whose sum is σ = 32651760960. Its totient is φ = 4790374400.

The previous prime is 12574167953. The next prime is 12574168007. The reversal of 12574168000 is 86147521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12574168007) 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, 19255674 + ... + 19256326.

It is an arithmetic number, because the mean of its divisors is an integer number (145766790).

Almost surely, 2^12574168000 is an apocalyptic number.

12574168000 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 12574168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325880480).

12574168000 is an abundant number, since it is smaller than the sum of its proper divisors (20077592960).

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

12574168000 is an equidigital number, since it uses as much as digits as its factorization.

12574168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 12574168000 in words is "twelve billion, five hundred seventy-four million, one hundred sixty-eight thousand".