12136800 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 2979840.

The previous prime is 12136783. The next prime is 12136829. The reversal of 12136800 is 863121.

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, 31006 + ... + 31394.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^12136800 is an apocalyptic number.

12136800 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 12136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

12136800 is an abundant number, since it is smaller than the sum of its proper divisors (30516720).

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

12136800 is a wasteful number, since it uses less digits than its factorization.

12136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12136800 is about 3483.7910385096. The cubic root of 12136800 is about 229.8095461801.

Adding to 12136800 its reverse (863121), we get a palindrome (12999921).

The spelling of 12136800 in words is "twelve million, one hundred thirty-six thousand, eight hundred".