12988800 has 288 divisors, whose sum is σ = 51793560. Its totient is φ = 3072000.

The previous prime is 12988793. The next prime is 12988819. The reversal of 12988800 is 888921.

It is a tau number, because it is divible by the number of its divisors (288).

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316780 + ... + 316820.

Almost surely, 2^12988800 is an apocalyptic number.

12988800 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 12988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780).

12988800 is an abundant number, since it is smaller than the sum of its proper divisors (38804760).

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

12988800 is a wasteful number, since it uses less digits than its factorization.

12988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12988800 is about 3603.9977802435. The cubic root of 12988800 is about 235.0659238619.

The spelling of 12988800 in words is "twelve million, nine hundred eighty-eight thousand, eight hundred".