312421120 has 72 divisors (see below), whose sum is σ = 816414480. Its totient is φ = 113602560.

The previous prime is 312421117. The next prime is 312421129. The reversal of 312421120 is 21124213.

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 = 312421094 and 312421103.

It is not an unprimeable number, because it can be changed into a prime (312421129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2986 + ... + 25174.

It is an arithmetic number, because the mean of its divisors is an integer number (11339090).

Almost surely, 2^312421120 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 312421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408207240).

312421120 is an abundant number, since it is smaller than the sum of its proper divisors (503993360).

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

312421120 is a wasteful number, since it uses less digits than its factorization.

312421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22221 (or 22207 counting only the distinct ones).

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

The square root of 312421120 is about 17675.4383255409. The cubic root of 312421120 is about 678.5473024742.

Adding to 312421120 its reverse (21124213), we get a palindrome (333545333).

The spelling of 312421120 in words is "three hundred twelve million, four hundred twenty-one thousand, one hundred twenty".