331122030000 has 400 divisors, whose sum is σ = 1133809264896. Its totient is φ = 83064960000.

The previous prime is 331122029999. The next prime is 331122030053. The reversal of 331122030000 is 30221133.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42086067 + ... + 42093933.

Almost surely, 2^331122030000 is an apocalyptic number.

331122030000 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 331122030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566904632448).

331122030000 is an abundant number, since it is smaller than the sum of its proper divisors (802687234896).

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

331122030000 is a wasteful number, since it uses less digits than its factorization.

331122030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 331122030000 its reverse (30221133), we get a palindrome (331152251133).

The spelling of 331122030000 in words is "three hundred thirty-one billion, one hundred twenty-two million, thirty thousand".