12988747200 has 672 divisors, whose sum is σ = 50796748800. Its totient is φ = 2864332800.

The previous prime is 12988747199. The next prime is 12988747217. The reversal of 12988747200 is 274788921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12988747200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87172726 + ... + 87172874.

It is an arithmetic number, because the mean of its divisors is an integer number (75590400).

Almost surely, 2^12988747200 is an apocalyptic number.

12988747200 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 12988747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25398374400).

12988747200 is an abundant number, since it is smaller than the sum of its proper divisors (37808001600).

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

12988747200 is a wasteful number, since it uses less digits than its factorization.

12988747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 12988747200 in words is "twelve billion, nine hundred eighty-eight million, seven hundred forty-seven thousand, two hundred".