12334456243200 has 1584 divisors, whose sum is σ = 54077255334144. Its totient is φ = 2449185177600.

The previous prime is 12334456243181. The next prime is 12334456243201. The reversal of 12334456243200 is 234265443321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12334456243201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 831659785 + ... + 831674615.

Almost surely, 2^{12334456243200} is an apocalyptic number.

12334456243200 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 12334456243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27038627667072).

12334456243200 is an abundant number, since it is smaller than the sum of its proper divisors (41742799090944).

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

12334456243200 is a wasteful number, since it uses less digits than its factorization.

12334456243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 12334456243200 in words is "twelve trillion, three hundred thirty-four billion, four hundred fifty-six million, two hundred forty-three thousand, two hundred".