331220121122000 has 320 divisors, whose sum is σ = 890852574643200. Its totient is φ = 118089679680000.

The previous prime is 331220121121987. The next prime is 331220121122003. The reversal of 331220121122000 is 221121022133.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220121122003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491605355 + ... + 492278645.

It is an arithmetic number, because the mean of its divisors is an integer number (2783914295760).

Almost surely, 2^{331220121122000} 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 331220121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445426287321600).

331220121122000 is an abundant number, since it is smaller than the sum of its proper divisors (559632453521200).

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

331220121122000 is a wasteful number, since it uses less digits than its factorization.

331220121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673763 (or 673747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 331220121122000 its reverse (221121022133), we get a palindrome (331441242144133).

The spelling of 331220121122000 in words is "three hundred thirty-one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand".