2232133320312 has 256 divisors, whose sum is σ = 7292687616000. Its totient is φ = 619234108416.

The previous prime is 2232133320269. The next prime is 2232133320337. The reversal of 2232133320312 is 2130233312322.

2232133320312 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 13 + 332 + 0 + 312 = 666.

It is a super-3 number, since 3×2232133320312³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27203764 + ... + 27285692.

It is an arithmetic number, because the mean of its divisors is an integer number (28487061000).

Almost surely, 2^{2232133320312} 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 2232133320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646343808000).

2232133320312 is an abundant number, since it is smaller than the sum of its proper divisors (5060554295688).

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

2232133320312 is a wasteful number, since it uses less digits than its factorization.

2232133320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82475 (or 82465 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2232133320312 its reverse (2130233312322), we get a palindrome (4362366632634).

The spelling of 2232133320312 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-three million, three hundred twenty thousand, three hundred twelve".