312321222000 has 240 divisors, whose sum is σ = 1091370876960. Its totient is φ = 83244672000.

The previous prime is 312321221977. The next prime is 312321222011. The reversal of 312321222000 is 222123213.

312321222000 is a `hidden beast` number, since 312 + 32 + 122 + 200 + 0 = 666.

312321222000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59955396 + ... + 59960604.

It is an arithmetic number, because the mean of its divisors is an integer number (4547378654).

Almost surely, 2^312321222000 is an apocalyptic number.

312321222000 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 312321222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545685438480).

312321222000 is an abundant number, since it is smaller than the sum of its proper divisors (779049654960).

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

312321222000 is a wasteful number, since it uses less digits than its factorization.

312321222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312321222000 its reverse (222123213), we get a palindrome (312543345213).

The spelling of 312321222000 in words is "three hundred twelve billion, three hundred twenty-one million, two hundred twenty-two thousand".