12533144000 has 112 divisors (see below), whose sum is σ = 33426172416. Its totient is φ = 4627584000.

The previous prime is 12533143993. The next prime is 12533144003. The reversal of 12533144000 is 44133521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533144003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43745 + ... + 164255.

It is an arithmetic number, because the mean of its divisors is an integer number (298447968).

Almost surely, 2^12533144000 is an apocalyptic number.

12533144000 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 12533144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713086208).

12533144000 is an abundant number, since it is smaller than the sum of its proper divisors (20893028416).

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

12533144000 is a wasteful number, since it uses less digits than its factorization.

12533144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120551 (or 120531 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 12533144000 its reverse (44133521), we get a palindrome (12577277521).

The spelling of 12533144000 in words is "twelve billion, five hundred thirty-three million, one hundred forty-four thousand".