331122011220 has 288 divisors, whose sum is σ = 1348570379520. Its totient is φ = 63511879680.

The previous prime is 331122011203. The next prime is 331122011221. The reversal of 331122011220 is 22110221133.

331122011220 is a `hidden beast` number, since 3 + 311 + 220 + 112 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331122011193 and 331122011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122011221) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 738685 + ... + 1099044.

It is an arithmetic number, because the mean of its divisors is an integer number (4682536040).

Almost surely, 2^331122011220 is an apocalyptic number.

331122011220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331122011220 is an abundant number, since it is smaller than the sum of its proper divisors (1017448368300).

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

331122011220 is a wasteful number, since it uses less digits than its factorization.

331122011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837775 (or 1837770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331122011220 its reverse (22110221133), we get a palindrome (353232232353).

The spelling of 331122011220 in words is "three hundred thirty-one billion, one hundred twenty-two million, eleven thousand, two hundred twenty".