312233444220 has 192 divisors, whose sum is σ = 928924738560. Its totient is φ = 78195566592.

The previous prime is 312233444191. The next prime is 312233444279. The reversal of 312233444220 is 22444332213.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28934586 + ... + 28945374.

It is an arithmetic number, because the mean of its divisors is an integer number (4838149680).

Almost surely, 2^312233444220 is an apocalyptic number.

312233444220 is a gapful number since it is divisible by the number (30) 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 312233444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464462369280).

312233444220 is an abundant number, since it is smaller than the sum of its proper divisors (616691294340).

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

312233444220 is a wasteful number, since it uses less digits than its factorization.

312233444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 312233444220 its reverse (22444332213), we get a palindrome (334677776433).

The spelling of 312233444220 in words is "three hundred twelve billion, two hundred thirty-three million, four hundred forty-four thousand, two hundred twenty".