12133800 has 240 divisors, whose sum is σ = 48612960. Its totient is φ = 2747520.

The previous prime is 12133789. The next prime is 12133813. The reversal of 12133800 is 833121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113347 + ... + 113453.

It is an arithmetic number, because the mean of its divisors is an integer number (202554).

Almost surely, 2^12133800 is an apocalyptic number.

12133800 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 12133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

12133800 is an abundant number, since it is smaller than the sum of its proper divisors (36479160).

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

12133800 is a wasteful number, since it uses less digits than its factorization.

12133800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12133800 is about 3483.3604464655. The cubic root of 12133800 is about 229.7906096825.

Adding to 12133800 its reverse (833121), we get a palindrome (12966921).

The spelling of 12133800 in words is "twelve million, one hundred thirty-three thousand, eight hundred".