12133604640 has 192 divisors, whose sum is σ = 40098965760. Its totient is φ = 3079802880.

The previous prime is 12133604627. The next prime is 12133604641. The reversal of 12133604640 is 4640633121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12133604598 and 12133604607.

It is not an unprimeable number, because it can be changed into a prime (12133604641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982182 + ... + 994458.

It is an arithmetic number, because the mean of its divisors is an integer number (208848780).

Almost surely, 2^12133604640 is an apocalyptic number.

12133604640 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 12133604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049482880).

12133604640 is an abundant number, since it is smaller than the sum of its proper divisors (27965361120).

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

12133604640 is a wasteful number, since it uses less digits than its factorization.

12133604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12395 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 12133604640 in words is "twelve billion, one hundred thirty-three million, six hundred four thousand, six hundred forty".