12320663040 has 480 divisors, whose sum is σ = 49433978880. Its totient is φ = 2777628672.

The previous prime is 12320662987. The next prime is 12320663051. The reversal of 12320663040 is 4036602321.

12320663040 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 6 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 12320662995 and 12320663013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12740637 + ... + 12741603.

It is an arithmetic number, because the mean of its divisors is an integer number (102987456).

Almost surely, 2^12320663040 is an apocalyptic number.

12320663040 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 12320663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716989440).

12320663040 is an abundant number, since it is smaller than the sum of its proper divisors (37113315840).

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

12320663040 is an equidigital number, since it uses as much as digits as its factorization.

12320663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 12320663040 in words is "twelve billion, three hundred twenty million, six hundred sixty-three thousand, forty".