312420220 has 96 divisors (see below), whose sum is σ = 800150400. Its totient is φ = 100024320.

The previous prime is 312420191. The next prime is 312420257. The reversal of 312420220 is 22024213.

It is a junction number, because it is equal to n+sod(n) for n = 312420194 and 312420203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354180 + ... + 355060.

It is an arithmetic number, because the mean of its divisors is an integer number (8334900).

Almost surely, 2^312420220 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 312420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400075200).

312420220 is an abundant number, since it is smaller than the sum of its proper divisors (487730180).

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

312420220 is a wasteful number, since it uses less digits than its factorization.

312420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 312420220 is about 17675.4128664651. The cubic root of 312420220 is about 678.5466509037.

Adding to 312420220 its reverse (22024213), we get a palindrome (334444433).

The spelling of 312420220 in words is "three hundred twelve million, four hundred twenty thousand, two hundred twenty".