12088400 has 60 divisors (see below), whose sum is σ = 29706432. Its totient is φ = 4725120.

The previous prime is 12088393. The next prime is 12088403. The reversal of 12088400 is 488021.

It is a super-2 number, since 2×12088400² = 292258829120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18479 + ... + 19121.

Almost surely, 2^12088400 is an apocalyptic number.

12088400 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 12088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853216).

12088400 is an abundant number, since it is smaller than the sum of its proper divisors (17618032).

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

12088400 is a wasteful number, since it uses less digits than its factorization.

12088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 12088400 is about 3476.8376436066. The cubic root of 12088400 is about 229.5036555475.

The spelling of 12088400 in words is "twelve million, eighty-eight thousand, four hundred".