331122000 has 320 divisors, whose sum is σ = 1211708160. Its totient is φ = 77056000.

The previous prime is 331121981. The next prime is 331122023. The reversal of 331122000 is 221133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1913914 + ... + 1914086.

It is an arithmetic number, because the mean of its divisors is an integer number (3786588).

Almost surely, 2^331122000 is an apocalyptic number.

331122000 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 331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605854080).

331122000 is an abundant number, since it is smaller than the sum of its proper divisors (880586160).

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

331122000 is a wasteful number, since it uses less digits than its factorization.

331122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 331122000 is about 18196.7579529981. The cubic root of 331122000 is about 691.8246183678.

Adding to 331122000 its reverse (221133), we get a palindrome (331343133).

The spelling of 331122000 in words is "three hundred thirty-one million, one hundred twenty-two thousand".