312012210 has 64 divisors (see below), whose sum is σ = 780088320. Its totient is φ = 79779840.

The previous prime is 312012209. The next prime is 312012251. The reversal of 312012210 is 12210213.

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, 103606 + ... + 106574.

It is an arithmetic number, because the mean of its divisors is an integer number (12188880).

Almost surely, 2^312012210 is an apocalyptic number.

312012210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390044160).

312012210 is an abundant number, since it is smaller than the sum of its proper divisors (468076110).

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

312012210 is a wasteful number, since it uses less digits than its factorization.

312012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312012210 is about 17663.8673568389. The cubic root of 312012210 is about 678.2511360711.

Adding to 312012210 its reverse (12210213), we get a palindrome (324222423).

It can be divided in two parts, 31201 and 2210, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 312012210 in words is "three hundred twelve million, twelve thousand, two hundred ten".