331220230020000 has 360 divisors, whose sum is σ = 1177566032126484. Its totient is φ = 88283492352000.

The previous prime is 331220230019983. The next prime is 331220230020079. The reversal of 331220230020000 is 20032022133.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 128564847758736 + 202655382261264 = 11338644^2 + 14235708^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 379904574 + ... + 380775426.

Almost surely, 2^{331220230020000} is an apocalyptic number.

331220230020000 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 331220230020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588783016063242).

331220230020000 is an abundant number, since it is smaller than the sum of its proper divisors (846345802106484).

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

331220230020000 is a wasteful number, since it uses less digits than its factorization.

331220230020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873002 (or 872976 counting only the distinct ones).

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

Adding to 331220230020000 its reverse (20032022133), we get a palindrome (331240262042133).

The spelling of 331220230020000 in words is "three hundred thirty-one trillion, two hundred twenty billion, two hundred thirty million, twenty thousand".