312434213220 has 72 divisors (see below), whose sum is σ = 949979197440. Its totient is φ = 83116925760.

The previous prime is 312434213191. The next prime is 312434213249. The reversal of 312434213220 is 22312434213.

312434213220 is a `hidden beast` number, since 3 + 1 + 2 + 434 + 2 + 1 + 3 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (312434213191) and next prime (312434213249).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1995876 + ... + 2146715.

It is an arithmetic number, because the mean of its divisors is an integer number (13194155520).

Almost surely, 2^312434213220 is an apocalyptic number.

312434213220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312434213220 is an abundant number, since it is smaller than the sum of its proper divisors (637544984220).

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

312434213220 is a wasteful number, since it uses less digits than its factorization.

312434213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143025 (or 4143020 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312434213220 its reverse (22312434213), we get a palindrome (334746647433).

The spelling of 312434213220 in words is "three hundred twelve billion, four hundred thirty-four million, two hundred thirteen thousand, two hundred twenty".