331121420 has 144 divisors (see below), whose sum is σ = 854945280. Its totient is φ = 107251200.

The previous prime is 331121419. The next prime is 331121467. The reversal of 331121420 is 24121133.

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 47 ways as a sum of consecutive naturals, for example, 1733525 + ... + 1733715.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^331121420 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 331121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

331121420 is an abundant number, since it is smaller than the sum of its proper divisors (523823860).

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

331121420 is a wasteful number, since it uses less digits than its factorization.

331121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 331121420 is about 18196.7420160863. The cubic root of 331121420 is about 691.8242144296.

Adding to 331121420 its reverse (24121133), we get a palindrome (355242553).

The spelling of 331121420 in words is "three hundred thirty-one million, one hundred twenty-one thousand, four hundred twenty".