12744033000 has 192 divisors, whose sum is σ = 42240744000. Its totient is φ = 3198284800.

The previous prime is 12744032999. The next prime is 12744033019. The reversal of 12744033000 is 33044721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859651 + ... + 874349.

It is an arithmetic number, because the mean of its divisors is an integer number (220003875).

Almost surely, 2^12744033000 is an apocalyptic number.

12744033000 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 12744033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120372000).

12744033000 is an abundant number, since it is smaller than the sum of its proper divisors (29496711000).

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

12744033000 is a wasteful number, since it uses less digits than its factorization.

12744033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757 (or 14726 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 12744033000 its reverse (33044721), we get a palindrome (12777077721).

The spelling of 12744033000 in words is "twelve billion, seven hundred forty-four million, thirty-three thousand".