312122233332 has 768 divisors, whose sum is σ = 1085210542080. Its totient is φ = 75331897344.

The previous prime is 312122233321. The next prime is 312122233363. The reversal of 312122233332 is 233332221213.

312122233332 is a `hidden beast` number, since 312 + 12 + 2 + 2 + 3 + 3 + 332 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312122233296 and 312122233305.

It is a congruent number.

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, 560362798 + ... + 560363354.

It is an arithmetic number, because the mean of its divisors is an integer number (1413034560).

Almost surely, 2^312122233332 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 312122233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542605271040).

312122233332 is an abundant number, since it is smaller than the sum of its proper divisors (773088308748).

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

312122233332 is a wasteful number, since it uses less digits than its factorization.

312122233332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

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

Adding to 312122233332 its reverse (233332221213), we get a palindrome (545454454545).

The spelling of 312122233332 in words is "three hundred twelve billion, one hundred twenty-two million, two hundred thirty-three thousand, three hundred thirty-two".