12514506480000 has 1600 divisors, whose sum is σ = 56319345165600. Its totient is φ = 2692030464000.

The previous prime is 12514506479987. The next prime is 12514506480019. The reversal of 12514506480000 is 8460541521.

It is a happy number.

12514506480000 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 4 + 5 + 0 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×12514506480000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 771111886 + ... + 771128114.

Almost surely, 2^{12514506480000} is an apocalyptic number.

12514506480000 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 12514506480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28159672582800).

12514506480000 is an abundant number, since it is smaller than the sum of its proper divisors (43804838685600).

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

12514506480000 is an equidigital number, since it uses as much as digits as its factorization.

12514506480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16299 (or 16263 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12514506480000 in words is "twelve trillion, five hundred fourteen billion, five hundred six million, four hundred eighty thousand".