12001173652512 has 768 divisors, whose sum is σ = 39849449472000. Its totient is φ = 3481060147200.

The previous prime is 12001173652487. The next prime is 12001173652519. The reversal of 12001173652512 is 21525637110021.

12001173652512 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 11 + 73 + 65 + 2 + 512 = 666.

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 (12001173652519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12918378064 + ... + 12918378992.

It is an arithmetic number, because the mean of its divisors is an integer number (51887304000).

Almost surely, 2^{12001173652512} is an apocalyptic number.

12001173652512 is a gapful number since it is divisible by the number (12) 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 12001173652512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19924724736000).

12001173652512 is an abundant number, since it is smaller than the sum of its proper divisors (27848275819488).

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

12001173652512 is a wasteful number, since it uses less digits than its factorization.

12001173652512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12001173652512 in words is "twelve trillion, one billion, one hundred seventy-three million, six hundred fifty-two thousand, five hundred twelve".