12614981280 has 384 divisors, whose sum is σ = 45979508736. Its totient is φ = 2878156800.

The previous prime is 12614981263. The next prime is 12614981297. The reversal of 12614981280 is 8218941621.

It is an interprime number because it is at equal distance from previous prime (12614981263) and next prime (12614981297).

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 63 ways as a sum of consecutive naturals, for example, 6055119 + ... + 6057201.

It is an arithmetic number, because the mean of its divisors is an integer number (119738304).

Almost surely, 2^12614981280 is an apocalyptic number.

12614981280 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 12614981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22989754368).

12614981280 is an abundant number, since it is smaller than the sum of its proper divisors (33364527456).

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

12614981280 is a wasteful number, since it uses less digits than its factorization.

12614981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 12614981280 in words is "twelve billion, six hundred fourteen million, nine hundred eighty-one thousand, two hundred eighty".