12481413120 has 840 divisors, whose sum is σ = 51572636640. Its totient is φ = 2866544640.

The previous prime is 12481413097. The next prime is 12481413137. The reversal of 12481413120 is 2131418421.

12481413120 is a `hidden beast` number, since 1 + 248 + 1 + 413 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 656916471 + ... + 656916489.

It is an arithmetic number, because the mean of its divisors is an integer number (61395996).

Almost surely, 2^12481413120 is an apocalyptic number.

12481413120 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 12481413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786318320).

12481413120 is an abundant number, since it is smaller than the sum of its proper divisors (39091223520).

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

12481413120 is an frugal number, since it uses more digits than its factorization.

12481413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12481413120 in words is "twelve billion, four hundred eighty-one million, four hundred thirteen thousand, one hundred twenty".