12914121933360 has 240 divisors, whose sum is σ = 45264288685824. Its totient is φ = 3293402669568.

The previous prime is 12914121933301. The next prime is 12914121933467. The reversal of 12914121933360 is 6333912141921.

12914121933360 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 41 + 219 + 33 + 360 = 666.

12914121933360 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 89136339 + ... + 89281101.

Almost surely, 2^{12914121933360} is an apocalyptic number.

12914121933360 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 12914121933360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632144342912).

12914121933360 is an abundant number, since it is smaller than the sum of its proper divisors (32350166752464).

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

12914121933360 is a wasteful number, since it uses less digits than its factorization.

12914121933360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150192 (or 150183 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12914121933360 in words is "twelve trillion, nine hundred fourteen billion, one hundred twenty-one million, nine hundred thirty-three thousand, three hundred sixty".