322200201120000 has 1440 divisors, whose sum is σ = 1236876108948480. Its totient is φ = 72912752640000.

The previous prime is 322200201119879. The next prime is 322200201120013. The reversal of 322200201120000 is 21102002223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 364892639559 + ... + 364892640441.

Almost surely, 2^{322200201120000} is an apocalyptic number.

322200201120000 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 322200201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618438054474240).

322200201120000 is an abundant number, since it is smaller than the sum of its proper divisors (914675907828480).

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

322200201120000 is an equidigital number, since it uses as much as digits as its factorization.

322200201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 322200201120000 its reverse (21102002223), we get a palindrome (322221303122223).

The spelling of 322200201120000 in words is "three hundred twenty-two trillion, two hundred billion, two hundred one million, one hundred twenty thousand".