12133704000 has 896 divisors, whose sum is σ = 47929190400. Its totient is φ = 2672640000.

The previous prime is 12133703977. The next prime is 12133704001. The reversal of 12133704000 is 40733121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133704001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205655971 + ... + 205656029.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^12133704000 is an apocalyptic number.

12133704000 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 12133704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23964595200).

12133704000 is an abundant number, since it is smaller than the sum of its proper divisors (35795486400).

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

12133704000 is a wasteful number, since it uses less digits than its factorization.

12133704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 12133704000 in words is "twelve billion, one hundred thirty-three million, seven hundred four thousand".