312220322000 has 160 divisors (see below), whose sum is σ = 782721688320. Its totient is φ = 120312998400.

The previous prime is 312220321993. The next prime is 312220322023. The reversal of 312220322000 is 223022213.

It is a self number, because there is not a number n which added to its sum of digits gives 312220322000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27080237 + ... + 27091763.

It is an arithmetic number, because the mean of its divisors is an integer number (4892010552).

Almost surely, 2^312220322000 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 312220322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391360844160).

312220322000 is an abundant number, since it is smaller than the sum of its proper divisors (470501366320).

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

312220322000 is a wasteful number, since it uses less digits than its factorization.

312220322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 312220322000 its reverse (223022213), we get a palindrome (312443344213).

The spelling of 312220322000 in words is "three hundred twelve billion, two hundred twenty million, three hundred twenty-two thousand".