12133240400 has 120 divisors (see below), whose sum is σ = 31742983200. Its totient is φ = 4439232000.

The previous prime is 12133240351. The next prime is 12133240409. The reversal of 12133240400 is 404233121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133240409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192875 + ... + 247925.

It is an arithmetic number, because the mean of its divisors is an integer number (264524860).

Almost surely, 2^12133240400 is an apocalyptic number.

12133240400 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 12133240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871491600).

12133240400 is an abundant number, since it is smaller than the sum of its proper divisors (19609742800).

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

12133240400 is a wasteful number, since it uses less digits than its factorization.

12133240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55117 (or 55106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12133240400 its reverse (404233121), we get a palindrome (12537473521).

The spelling of 12133240400 in words is "twelve billion, one hundred thirty-three million, two hundred forty thousand, four hundred".