312032220 has 96 divisors (see below), whose sum is σ = 897039360. Its totient is φ = 81016320.

The previous prime is 312032207. The next prime is 312032243. The reversal of 312032220 is 22230213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312032220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378729 + ... + 379551.

It is an arithmetic number, because the mean of its divisors is an integer number (9344160).

Almost surely, 2^312032220 is an apocalyptic number.

312032220 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 312032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448519680).

312032220 is an abundant number, since it is smaller than the sum of its proper divisors (585007140).

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

312032220 is a wasteful number, since it uses less digits than its factorization.

312032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 312032220 is about 17664.4337582613. The cubic root of 312032220 is about 678.2656349857.

Adding to 312032220 its reverse (22230213), we get a palindrome (334262433).

The spelling of 312032220 in words is "three hundred twelve million, thirty-two thousand, two hundred twenty".