12323723427840 has 1920 divisors, whose sum is σ = 48431660175360. Its totient is φ = 2639056076800.

The previous prime is 12323723427833. The next prime is 12323723427919. The reversal of 12323723427840 is 4872432732321.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12323723427840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94074224575 + ... + 94074224705.

It is an arithmetic number, because the mean of its divisors is an integer number (25224823008).

Almost surely, 2^{12323723427840} is an apocalyptic number.

12323723427840 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 12323723427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215830087680).

12323723427840 is an abundant number, since it is smaller than the sum of its proper divisors (36107936747520).

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

12323723427840 is a wasteful number, since it uses less digits than its factorization.

12323723427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 12323723427840 in words is "twelve trillion, three hundred twenty-three billion, seven hundred twenty-three million, four hundred twenty-seven thousand, eight hundred forty".