312093120 has 112 divisors (see below), whose sum is σ = 1022957568. Its totient is φ = 80532480.

The previous prime is 312093101. The next prime is 312093121. The reversal of 312093120 is 21390213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312093121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24517 + ... + 35003.

Almost surely, 2^312093120 is an apocalyptic number.

312093120 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 312093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511478784).

312093120 is an abundant number, since it is smaller than the sum of its proper divisors (710864448).

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

312093120 is a wasteful number, since it uses less digits than its factorization.

312093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10528 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 312093120 is about 17666.1574769388. The cubic root of 312093120 is about 678.3097583032.

It can be divided in two parts, 312093 and 120, that added together give a palindrome (312213).

The spelling of 312093120 in words is "three hundred twelve million, ninety-three thousand, one hundred twenty".