12133600 has 72 divisors (see below), whose sum is σ = 30701160. Its totient is φ = 4677120.

The previous prime is 12133577. The next prime is 12133603. The reversal of 12133600 is 633121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133603) 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, 22939 + ... + 23461.

It is an arithmetic number, because the mean of its divisors is an integer number (426405).

Almost surely, 2^12133600 is an apocalyptic number.

12133600 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 12133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350580).

12133600 is an abundant number, since it is smaller than the sum of its proper divisors (18567560).

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

12133600 is a wasteful number, since it uses less digits than its factorization.

12133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 12133600 is about 3483.3317384366. The cubic root of 12133600 is about 229.7893471383.

Adding to 12133600 its reverse (633121), we get a palindrome (12766721).

The spelling of 12133600 in words is "twelve million, one hundred thirty-three thousand, six hundred".