312120323310 has 64 divisors (see below), whose sum is σ = 768511991808. Its totient is φ = 81084065664.

The previous prime is 312120323293. The next prime is 312120323329. The reversal of 312120323310 is 13323021213.

It is a super-2 number, since 2×312120323310² (a number of 24 digits) contains 22 as substring.

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, 178204 + ... + 809936.

It is an arithmetic number, because the mean of its divisors is an integer number (12007999872).

Almost surely, 2^312120323310 is an apocalyptic number.

312120323310 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 312120323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384255995904).

312120323310 is an abundant number, since it is smaller than the sum of its proper divisors (456391668498).

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

312120323310 is a wasteful number, since it uses less digits than its factorization.

312120323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632169.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312120323310 its reverse (13323021213), we get a palindrome (325443344523).

The spelling of 312120323310 in words is "three hundred twelve billion, one hundred twenty million, three hundred twenty-three thousand, three hundred ten".