12630984072960 has 288 divisors, whose sum is σ = 44166409523712. Its totient is φ = 3050999562240.

The previous prime is 12630984072943. The next prime is 12630984072991. The reversal of 12630984072960 is 6927048903621.

It is a self number, because there is not a number n which added to its sum of digits gives 12630984072960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11160717 + ... + 12240243.

It is an arithmetic number, because the mean of its divisors is an integer number (153355588624).

Almost surely, 2^{12630984072960} is an apocalyptic number.

12630984072960 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 12630984072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083204761856).

12630984072960 is an abundant number, since it is smaller than the sum of its proper divisors (31535425450752).

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

12630984072960 is a wasteful number, since it uses less digits than its factorization.

12630984072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079839 (or 1079825 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 12630984072960 in words is "twelve trillion, six hundred thirty billion, nine hundred eighty-four million, seventy-two thousand, nine hundred sixty".