12233385001344 has 512 divisors, whose sum is σ = 38875831787520. Its totient is φ = 3372171264000.

The previous prime is 12233385001333. The next prime is 12233385001433. The reversal of 12233385001344 is 44310058333221.

It is a happy number.

It is a super-2 number, since 2×12233385001344² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160439709 + ... + 160515939.

It is an arithmetic number, because the mean of its divisors is an integer number (75929358960).

Almost surely, 2^{12233385001344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233385001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437915893760).

12233385001344 is an abundant number, since it is smaller than the sum of its proper divisors (26642446786176).

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

12233385001344 is a wasteful number, since it uses less digits than its factorization.

12233385001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76370 (or 76358 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 12233385001344 in words is "twelve trillion, two hundred thirty-three billion, three hundred eighty-five million, one thousand, three hundred forty-four".