12714192000 has 512 divisors, whose sum is σ = 49327200000. Its totient is φ = 3209932800.

The previous prime is 12714191951. The next prime is 12714192059. The reversal of 12714192000 is 29141721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8207226 + ... + 8208774.

Almost surely, 2^12714192000 is an apocalyptic number.

12714192000 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 12714192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663600000).

12714192000 is an abundant number, since it is smaller than the sum of its proper divisors (36613008000).

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

12714192000 is a wasteful number, since it uses less digits than its factorization.

12714192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12714192000 in words is "twelve billion, seven hundred fourteen million, one hundred ninety-two thousand".