12010833948672 has 624 divisors, whose sum is σ = 38003697513600. Its totient is φ = 3632655237120.

The previous prime is 12010833948601. The next prime is 12010833948683. The reversal of 12010833948672 is 27684933801021.

It is a happy number.

12010833948672 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 83 + 3 + 9 + 486 + 72 = 666.

12010833948672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (624).

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, 10638470604 + ... + 10638471732.

It is an arithmetic number, because the mean of its divisors is an integer number (60903361400).

Almost surely, 2^{12010833948672} is an apocalyptic number.

12010833948672 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 12010833948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001848756800).

12010833948672 is an abundant number, since it is smaller than the sum of its proper divisors (25992863564928).

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

12010833948672 is a wasteful number, since it uses less digits than its factorization.

12010833948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12010833948672 in words is "twelve trillion, ten billion, eight hundred thirty-three million, nine hundred forty-eight thousand, six hundred seventy-two".