312213132 has 288 divisors, whose sum is σ = 1056706560. Its totient is φ = 75335040.

The previous prime is 312213061. The next prime is 312213163. The reversal of 312213132 is 231312213.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3761563 + ... + 3761645.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^312213132 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 312213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

312213132 is an abundant number, since it is smaller than the sum of its proper divisors (744493428).

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

312213132 is a wasteful number, since it uses less digits than its factorization.

312213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 188 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 312213132 is about 17669.5538144006. The cubic root of 312213132 is about 678.3966926968.

Adding to 312213132 its reverse (231312213), we get a palindrome (543525345).

It can be divided in two parts, 312 and 213132, that added together give a square (213444 = 462²).

The spelling of 312213132 in words is "three hundred twelve million, two hundred thirteen thousand, one hundred thirty-two".