312241404210 has 64 divisors (see below), whose sum is σ = 765270374400. Its totient is φ = 81510521792.

The previous prime is 312241404173. The next prime is 312241404229. The reversal of 312241404210 is 12404142213.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 53977 + ... + 792083.

It is an arithmetic number, because the mean of its divisors is an integer number (11957349600).

Almost surely, 2^312241404210 is an apocalyptic number.

312241404210 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 312241404210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382635187200).

312241404210 is an abundant number, since it is smaller than the sum of its proper divisors (453028970190).

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

312241404210 is a wasteful number, since it uses less digits than its factorization.

312241404210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738415.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 312241404210 its reverse (12404142213), we get a palindrome (324645546423).

The spelling of 312241404210 in words is "three hundred twelve billion, two hundred forty-one million, four hundred four thousand, two hundred ten".