322313220000 has 360 divisors, whose sum is σ = 1156761545940. Its totient is φ = 85094400000.

The previous prime is 322313219947. The next prime is 322313220001. The reversal of 322313220000 is 22313223.

It is a happy number.

322313220000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 3011375376 + 319301844624 = 54876^2 + 565068^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (322313220001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18171136 + ... + 18188864.

Almost surely, 2^322313220000 is an apocalyptic number.

322313220000 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 322313220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578380772970).

322313220000 is an abundant number, since it is smaller than the sum of its proper divisors (834448325940).

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

322313220000 is a wasteful number, since it uses less digits than its factorization.

322313220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17866 (or 17840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 322313220000 its reverse (22313223), we get a palindrome (322335533223).

The spelling of 322313220000 in words is "three hundred twenty-two billion, three hundred thirteen million, two hundred twenty thousand".