12133278720 has 264 divisors, whose sum is σ = 42305103360. Its totient is φ = 3215278080.

The previous prime is 12133278719. The next prime is 12133278721. The reversal of 12133278720 is 2787233121.

It is an interprime number because it is at equal distance from previous prime (12133278719) and next prime (12133278721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12133278721) 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, 8247585 + ... + 8249055.

Almost surely, 2^12133278720 is an apocalyptic number.

12133278720 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 12133278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152551680).

12133278720 is an abundant number, since it is smaller than the sum of its proper divisors (30171824640).

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

12133278720 is a wasteful number, since it uses less digits than its factorization.

12133278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12133278720 in words is "twelve billion, one hundred thirty-three million, two hundred seventy-eight thousand, seven hundred twenty".