12153600 has 162 divisors, whose sum is σ = 43657796. Its totient is φ = 3225600.

The previous prime is 12153593. The next prime is 12153611. The reversal of 12153600 is 635121.

12153600 is a `hidden beast` number, since 12 + 1 + 53 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57495 + ... + 57705.

Almost surely, 2^12153600 is an apocalyptic number.

12153600 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 12153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21828898).

12153600 is an abundant number, since it is smaller than the sum of its proper divisors (31504196).

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

12153600 is a wasteful number, since it uses less digits than its factorization.

12153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12153600 is about 3486.2013711201. The cubic root of 12153600 is about 229.9155329406.

Adding to 12153600 its reverse (635121), we get a palindrome (12788721).

The spelling of 12153600 in words is "twelve million, one hundred fifty-three thousand, six hundred".