12946897600 has 252 divisors, whose sum is σ = 39912487104. Its totient is φ = 4097157120.

The previous prime is 12946897589. The next prime is 12946897627. The reversal of 12946897600 is 679864921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1012849 + ... + 1025551.

Almost surely, 2^12946897600 is an apocalyptic number.

12946897600 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 12946897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956243552).

12946897600 is an abundant number, since it is smaller than the sum of its proper divisors (26965589504).

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

12946897600 is a wasteful number, since it uses less digits than its factorization.

12946897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 12946897600 in words is "twelve billion, nine hundred forty-six million, eight hundred ninety-seven thousand, six hundred".