12139852458672 has 400 divisors, whose sum is σ = 37310986944000. Its totient is φ = 3799993471488.

The previous prime is 12139852458631. The next prime is 12139852458719. The reversal of 12139852458672 is 27685425893121.

It is a happy number.

12139852458672 is a `hidden beast` number, since 1 + 2 + 1 + 39 + 8 + 524 + 5 + 8 + 6 + 72 = 666.

12139852458672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12139852458672³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2460944718 + ... + 2460949650.

It is an arithmetic number, because the mean of its divisors is an integer number (93277467360).

Almost surely, 2^{12139852458672} is an apocalyptic number.

12139852458672 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 12139852458672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655493472000).

12139852458672 is an abundant number, since it is smaller than the sum of its proper divisors (25171134485328).

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

12139852458672 is a wasteful number, since it uses less digits than its factorization.

12139852458672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5815 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 12139852458672 in words is "twelve trillion, one hundred thirty-nine billion, eight hundred fifty-two million, four hundred fifty-eight thousand, six hundred seventy-two".