12012114915360 has 288 divisors, whose sum is σ = 46850066565120. Its totient is φ = 2745461090304.

The previous prime is 12012114915349. The next prime is 12012114915403. The reversal of 12012114915360 is 6351941121021.

12012114915360 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 114 + 9 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 263962369 + ... + 264007871.

It is an arithmetic number, because the mean of its divisors is an integer number (162673842240).

Almost surely, 2^{12012114915360} is an apocalyptic number.

12012114915360 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 12012114915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425033282560).

12012114915360 is an abundant number, since it is smaller than the sum of its proper divisors (34837951649760).

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

12012114915360 is a wasteful number, since it uses less digits than its factorization.

12012114915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71720 (or 71709 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12012114915360 in words is "twelve trillion, twelve billion, one hundred fourteen million, nine hundred fifteen thousand, three hundred sixty".