312140220 has 96 divisors (see below), whose sum is σ = 1002828288. Its totient is φ = 71062272.

The previous prime is 312140167. The next prime is 312140237. The reversal of 312140220 is 22041213.

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 312140220.

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, 114999 + ... + 117681.

It is an arithmetic number, because the mean of its divisors is an integer number (10446128).

Almost surely, 2^312140220 is an apocalyptic number.

312140220 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 312140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501414144).

312140220 is an abundant number, since it is smaller than the sum of its proper divisors (690688068).

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

312140220 is a wasteful number, since it uses less digits than its factorization.

312140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 312140220 is about 17667.4904839369. The cubic root of 312140220 is about 678.3438792974.

Adding to 312140220 its reverse (22041213), we get a palindrome (334181433).

The spelling of 312140220 in words is "three hundred twelve million, one hundred forty thousand, two hundred twenty".