12889200 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3280640.

The previous prime is 12889187. The next prime is 12889231. The reversal of 12889200 is 298821.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12889200² = 332262953280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27367 + ... + 27833.

Almost surely, 2^12889200 is an apocalyptic number.

12889200 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 12889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

12889200 is an abundant number, since it is smaller than the sum of its proper divisors (30286608).

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

12889200 is a wasteful number, since it uses less digits than its factorization.

12889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 12889200 is about 3590.1532000738. The cubic root of 12889200 is about 234.4635416578.

The spelling of 12889200 in words is "twelve million, eight hundred eighty-nine thousand, two hundred".