12930155463600 has 240 divisors, whose sum is σ = 46205138931840. Its totient is φ = 3434303520000.

The previous prime is 12930155463569. The next prime is 12930155463607. The reversal of 12930155463600 is 636455103921.

12930155463600 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 0 + 1 + 5 + 5 + 4 + 636 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (12930155463607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 325867 + ... + 5095733.

It is an arithmetic number, because the mean of its divisors is an integer number (192521412216).

Almost surely, 2^{12930155463600} is an apocalyptic number.

12930155463600 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 12930155463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23102569465920).

12930155463600 is an abundant number, since it is smaller than the sum of its proper divisors (33274983468240).

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

12930155463600 is a wasteful number, since it uses less digits than its factorization.

12930155463600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770145 (or 4770128 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 12930155463600 in words is "twelve trillion, nine hundred thirty billion, one hundred fifty-five million, four hundred sixty-three thousand, six hundred".