312023120 has 80 divisors (see below), whose sum is σ = 748077120. Its totient is φ = 120960000.

The previous prime is 312023119. The next prime is 312023143. The reversal of 312023120 is 21320213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 312023095 and 312023104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823091 + ... + 823469.

It is an arithmetic number, because the mean of its divisors is an integer number (9350964).

Almost surely, 2^312023120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

312023120 is an abundant number, since it is smaller than the sum of its proper divisors (436054000).

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

312023120 is a wasteful number, since it uses less digits than its factorization.

312023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312023120 is about 17664.1761766577. The cubic root of 312023120 is about 678.2590413533.

Adding to 312023120 its reverse (21320213), we get a palindrome (333343333).

The spelling of 312023120 in words is "three hundred twelve million, twenty-three thousand, one hundred twenty".