331122222200000 has 672 divisors, whose sum is σ = 1029310775894016. Its totient is φ = 102665664000000.

The previous prime is 331122222199927. The next prime is 331122222200009. The reversal of 331122222200000 is 2222221133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (331122222200009) 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, 2941343714 + ... + 2941456286.

It is an arithmetic number, because the mean of its divisors is an integer number (1531712464128).

Almost surely, 2^{331122222200000} 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 331122222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514655387947008).

331122222200000 is an abundant number, since it is smaller than the sum of its proper divisors (698188553694016).

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

331122222200000 is a wasteful number, since it uses less digits than its factorization.

331122222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112819 (or 112789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 331122222200000 its reverse (2222221133), we get a palindrome (331124444421133).

The spelling of 331122222200000 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred thousand".