312233002111332 has 288 divisors, whose sum is σ = 876390454517760. Its totient is φ = 93410870699520.

The previous prime is 312233002111279. The next prime is 312233002111361. The reversal of 312233002111332 is 233111200332213.

312233002111332 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 300 + 21 + 1 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312233002111296 and 312233002111305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109139923 + ... + 111964229.

It is an arithmetic number, because the mean of its divisors is an integer number (3043022411520).

Almost surely, 2^{312233002111332} 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 312233002111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438195227258880).

312233002111332 is an abundant number, since it is smaller than the sum of its proper divisors (564157452406428).

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

312233002111332 is a wasteful number, since it uses less digits than its factorization.

312233002111332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824503 (or 2824498 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312233002111332 its reverse (233111200332213), we get a palindrome (545344202443545).

The spelling of 312233002111332 in words is "three hundred twelve trillion, two hundred thirty-three billion, two million, one hundred eleven thousand, three hundred thirty-two".