312312030223122 has 128 divisors (see below), whose sum is σ = 716887963384320. Its totient is φ = 100707482684160.

The previous prime is 312312030223033. The next prime is 312312030223213. The reversal of 312312030223122 is 221322030213213.

312312030223122 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 120 + 302 + 231 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599427248 + ... + 1599622500.

It is an arithmetic number, because the mean of its divisors is an integer number (5600687213940).

Almost surely, 2^{312312030223122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312312030223122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358443981692160).

312312030223122 is an abundant number, since it is smaller than the sum of its proper divisors (404575933161198).

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

312312030223122 is a wasteful number, since it uses less digits than its factorization.

312312030223122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199905 (or 199899 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312312030223122 its reverse (221322030213213), we get a palindrome (533634060436335).

Subtracting from 312312030223122 its reverse (221322030213213), we obtain a palindrome (90990000009909).

The spelling of 312312030223122 in words is "three hundred twelve trillion, three hundred twelve billion, thirty million, two hundred twenty-three thousand, one hundred twenty-two".