12914385120 has 1296 divisors, whose sum is σ = 60090070320. Its totient is φ = 2581383168.

The previous prime is 12914385119. The next prime is 12914385163. The reversal of 12914385120 is 2158341921.

12914385120 is a `hidden beast` number, since 12 + 91 + 43 + 8 + 512 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 679704471 + ... + 679704489.

It is an arithmetic number, because the mean of its divisors is an integer number (46365795).

Almost surely, 2^12914385120 is an apocalyptic number.

12914385120 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 12914385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30045035160).

12914385120 is an abundant number, since it is smaller than the sum of its proper divisors (47175685200).

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

12914385120 is a wasteful number, since it uses less digits than its factorization.

12914385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 12914385120 by its product of nonzero digits (17280), we get a square (223160574873600 = 14938560²).

The spelling of 12914385120 in words is "twelve billion, nine hundred fourteen million, three hundred eighty-five thousand, one hundred twenty".