12086400 has 96 divisors (see below), whose sum is σ = 39841200. Its totient is φ = 3220480.

The previous prime is 12086387. The next prime is 12086423. The reversal of 12086400 is 468021.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8971 + ... + 10229.

Almost surely, 2^12086400 is an apocalyptic number.

12086400 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 12086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920600).

12086400 is an abundant number, since it is smaller than the sum of its proper divisors (27754800).

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

12086400 is a wasteful number, since it uses less digits than its factorization.

12086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12086400 is about 3476.5500140225. The cubic root of 12086400 is about 229.4909978859.

The spelling of 12086400 in words is "twelve million, eighty-six thousand, four hundred".