312241120 has 48 divisors (see below), whose sum is σ = 743350608. Its totient is φ = 123934720.

The previous prime is 312241093. The next prime is 312241147. The reversal of 312241120 is 21142213.

It is an interprime number because it is at equal distance from previous prime (312241093) and next prime (312241147).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312241094 and 312241103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13512 + ... + 28408.

It is an arithmetic number, because the mean of its divisors is an integer number (15486471).

Almost surely, 2^312241120 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 312241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371675304).

312241120 is an abundant number, since it is smaller than the sum of its proper divisors (431109488).

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

312241120 is a wasteful number, since it uses less digits than its factorization.

312241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15043 (or 15035 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312241120 is about 17670.3457804311. The cubic root of 312241120 is about 678.4169634642.

Adding to 312241120 its reverse (21142213), we get a palindrome (333383333).

The spelling of 312241120 in words is "three hundred twelve million, two hundred forty-one thousand, one hundred twenty".