12114063360 has 624 divisors, whose sum is σ = 49374037440. Its totient is φ = 2689597440.

The previous prime is 12114063359. The next prime is 12114063373. The reversal of 12114063360 is 6336041121.

12114063360 is a `hidden beast` number, since 1 + 21 + 1 + 4 + 0 + 633 + 6 + 0 = 666.

It is a super-3 number, since 3×12114063360³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 52899726 + ... + 52899954.

It is an arithmetic number, because the mean of its divisors is an integer number (79125060).

Almost surely, 2^12114063360 is an apocalyptic number.

12114063360 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 12114063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24687018720).

12114063360 is an abundant number, since it is smaller than the sum of its proper divisors (37259974080).

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

12114063360 is a wasteful number, since it uses less digits than its factorization.

12114063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12114063360 in words is "twelve billion, one hundred fourteen million, sixty-three thousand, three hundred sixty".