12064027200 has 336 divisors, whose sum is σ = 41952672000. Its totient is φ = 3026626560.

The previous prime is 12064027133. The next prime is 12064027211. The reversal of 12064027200 is 272046021.

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, 16324431 + ... + 16325169.

Almost surely, 2^12064027200 is an apocalyptic number.

12064027200 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 12064027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976336000).

12064027200 is an abundant number, since it is smaller than the sum of its proper divisors (29888644800).

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

12064027200 is a wasteful number, since it uses less digits than its factorization.

12064027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 12064027200 in words is "twelve billion, sixty-four million, twenty-seven thousand, two hundred".