312213220 has 48 divisors (see below), whose sum is σ = 722385216. Its totient is φ = 112400000.

The previous prime is 312213203. The next prime is 312213227. The reversal of 312213220 is 22312213.

It is a junction number, because it is equal to n+sod(n) for n = 312213194 and 312213203.

It is not an unprimeable number, because it can be changed into a prime (312213227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15195 + ... + 29245.

It is an arithmetic number, because the mean of its divisors is an integer number (15049692).

Almost surely, 2^312213220 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 312213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361192608).

312213220 is an abundant number, since it is smaller than the sum of its proper divisors (410171996).

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

312213220 is a wasteful number, since it uses less digits than its factorization.

312213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14172 (or 14170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312213220 is about 17669.5563045595. The cubic root of 312213220 is about 678.3967564342.

Adding to 312213220 its reverse (22312213), we get a palindrome (334525433).

The spelling of 312213220 in words is "three hundred twelve million, two hundred thirteen thousand, two hundred twenty".