312021120 has 128 divisors (see below), whose sum is σ = 1001672640. Its totient is φ = 82612224.

The previous prime is 312021091. The next prime is 312021131. The reversal of 312021120 is 21120213.

312021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 312021096 and 312021105.

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, 312462 + ... + 313458.

Almost surely, 2^312021120 is an apocalyptic number.

312021120 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 312021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500836320).

312021120 is an abundant number, since it is smaller than the sum of its proper divisors (689651520).

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

312021120 is a wasteful number, since it uses less digits than its factorization.

312021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312021120 is about 17664.1195648127. The cubic root of 312021120 is about 678.2575921861.

Adding to 312021120 its reverse (21120213), we get a palindrome (333141333).

The spelling of 312021120 in words is "three hundred twelve million, twenty-one thousand, one hundred twenty".