12063174262272 has 1600 divisors, whose sum is σ = 44949176211456. Its totient is φ = 3142688440320.

The previous prime is 12063174262253. The next prime is 12063174262277. The reversal of 12063174262272 is 27226247136021.

12063174262272 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 3 + 17 + 4 + 2 + 622 + 7 + 2 = 666.

It is a super-2 number, since 2×12063174262272² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12063174262277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30385829178 + ... + 30385829574.

Almost surely, 2^{12063174262272} is an apocalyptic number.

12063174262272 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 12063174262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22474588105728).

12063174262272 is an abundant number, since it is smaller than the sum of its proper divisors (32886001949184).

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

12063174262272 is a wasteful number, since it uses less digits than its factorization.

12063174262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12063174262272 in words is "twelve trillion, sixty-three billion, one hundred seventy-four million, two hundred sixty-two thousand, two hundred seventy-two".