312222123123120 has 480 divisors, whose sum is σ = 1202432776376832. Its totient is φ = 71121433817088.

The previous prime is 312222123123089. The next prime is 312222123123121. The reversal of 312222123123120 is 21321321222213.

312222123123120 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 22 + 12 + 312 + 312 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (312222123123121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3345560779 + ... + 3345654101.

Almost surely, 2^{312222123123120} is an apocalyptic number.

312222123123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312222123123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601216388188416).

312222123123120 is an abundant number, since it is smaller than the sum of its proper divisors (890210653253712).

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

312222123123120 is a wasteful number, since it uses less digits than its factorization.

312222123123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95609 (or 95600 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312222123123120 its reverse (21321321222213), we get a palindrome (333543444345333).

The spelling of 312222123123120 in words is "three hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".