12007336752000 has 1024 divisors, whose sum is σ = 45416068588800. Its totient is φ = 3116261376000.

The previous prime is 12007336751999. The next prime is 12007336752007. The reversal of 12007336752000 is 25763370021.

12007336752000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 73 + 3 + 67 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×12007336752000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007336752007) 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, 13691375562 + ... + 13691376438.

Almost surely, 2^{12007336752000} is an apocalyptic number.

12007336752000 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 12007336752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708034294400).

12007336752000 is an abundant number, since it is smaller than the sum of its proper divisors (33408731836800).

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

12007336752000 is an equidigital number, since it uses as much as digits as its factorization.

12007336752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 12007336752000 in words is "twelve trillion, seven billion, three hundred thirty-six million, seven hundred fifty-two thousand".