331221230222272 has 224 divisors, whose sum is σ = 764372332039680. Its totient is φ = 141119924613120.

The previous prime is 331221230222249. The next prime is 331221230222273. The reversal of 331221230222272 is 272222032122133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331221230222273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101573733 + ... + 104783899.

It is an arithmetic number, because the mean of its divisors is an integer number (3412376482320).

Almost surely, 2^{331221230222272} is an apocalyptic number.

331221230222272 is a gapful number since it is divisible by the number (32) 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 331221230222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382186166019840).

331221230222272 is an abundant number, since it is smaller than the sum of its proper divisors (433151101817408).

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

331221230222272 is a wasteful number, since it uses less digits than its factorization.

331221230222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210379 (or 3210369 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 331221230222272 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred thirty million, two hundred twenty-two thousand, two hundred seventy-two".