12233743441920 has 3584 divisors, whose sum is σ = 59989649448960. Its totient is φ = 2283043553280.

The previous prime is 12233743441889. The next prime is 12233743441943. The reversal of 12233743441920 is 2914434733221.

It is a happy number.

12233743441920 is a `hidden beast` number, since 1 + 2 + 23 + 3 + 7 + 434 + 4 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47602114432 + ... + 47602114688.

It is an arithmetic number, because the mean of its divisors is an integer number (16738183440).

Almost surely, 2^{12233743441920} is an apocalyptic number.

12233743441920 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 12233743441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29994824724480).

12233743441920 is an abundant number, since it is smaller than the sum of its proper divisors (47755906007040).

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

12233743441920 is a wasteful number, since it uses less digits than its factorization.

12233743441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 12233743441920 in words is "twelve trillion, two hundred thirty-three billion, seven hundred forty-three million, four hundred forty-one thousand, nine hundred twenty".