12123627384960 has 4032 divisors, whose sum is σ = 57962126600280. Its totient is φ = 2401877753856.

The previous prime is 12123627384877. The next prime is 12123627384989. The reversal of 12123627384960 is 6948372632121.

12123627384960 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 627 + 3 + 8 + 4 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3704762650176 + 8418864734784 = 1924776^2 + 2901528^2 .

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12123627384897 and 12123627384906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 107288737864 + ... + 107288737976.

Almost surely, 2^{12123627384960} is an apocalyptic number.

12123627384960 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 12123627384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981063300140).

12123627384960 is an abundant number, since it is smaller than the sum of its proper divisors (45838499215320).

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

12123627384960 is a wasteful number, since it uses less digits than its factorization.

12123627384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 12123627384960 in words is "twelve trillion, one hundred twenty-three billion, six hundred twenty-seven million, three hundred eighty-four thousand, nine hundred sixty".