12897612000 has 1152 divisors, whose sum is σ = 58611990528. Its totient is φ = 2612736000.

The previous prime is 12897611963. The next prime is 12897612001. The reversal of 12897612000 is 21679821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12897612001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101555937 + ... + 101556063.

It is an arithmetic number, because the mean of its divisors is an integer number (50878464).

Almost surely, 2^12897612000 is an apocalyptic number.

12897612000 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 12897612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29305995264).

12897612000 is an abundant number, since it is smaller than the sum of its proper divisors (45714378528).

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

12897612000 is a wasteful number, since it uses less digits than its factorization.

12897612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12897612000 in words is "twelve billion, eight hundred ninety-seven million, six hundred twelve thousand".