331211022000000 has 448 divisors, whose sum is σ = 1101237191483520. Its totient is φ = 88200288000000.

The previous prime is 331211021999969. The next prime is 331211022000017. The reversal of 331211022000000 is 220112133.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4361962035 + ... + 4362037965.

It is an arithmetic number, because the mean of its divisors is an integer number (2458118730990).

Almost surely, 2^{331211022000000} is an apocalyptic number.

331211022000000 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 331211022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550618595741760).

331211022000000 is an abundant number, since it is smaller than the sum of its proper divisors (770026169483520).

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

331211022000000 is an frugal number, since it uses more digits than its factorization.

331211022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76705 (or 76668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 331211022000000 its reverse (220112133), we get a palindrome (331211242112133).

The spelling of 331211022000000 in words is "three hundred thirty-one trillion, two hundred eleven billion, twenty-two million", and thus it is an aban number.