312104013210 has 144 divisors (see below), whose sum is σ = 893675076840. Its totient is φ = 75514982400.

The previous prime is 312104013203. The next prime is 312104013223. The reversal of 312104013210 is 12310401213.

312104013210 is a `hidden beast` number, since 31 + 21 + 0 + 401 + 3 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 260721550881 + 51382462329 = 510609^2 + 226677^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5646186 + ... + 5701194.

Almost surely, 2^312104013210 is an apocalyptic number.

312104013210 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 312104013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446837538420).

312104013210 is an abundant number, since it is smaller than the sum of its proper divisors (581571063630).

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

312104013210 is a wasteful number, since it uses less digits than its factorization.

312104013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55565 (or 55551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312104013210 its reverse (12310401213), we get a palindrome (324414414423).

The spelling of 312104013210 in words is "three hundred twelve billion, one hundred four million, thirteen thousand, two hundred ten".