331234121232 has 320 divisors, whose sum is σ = 1106629171200. Its totient is φ = 92897625600.

The previous prime is 331234121227. The next prime is 331234121293. The reversal of 331234121232 is 232121432133.

331234121232 is a `hidden beast` number, since 3 + 3 + 12 + 3 + 412 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 331234121196 and 331234121205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232118503 + ... + 232119929.

It is an arithmetic number, because the mean of its divisors is an integer number (3458216160).

Almost surely, 2^331234121232 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 331234121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553314585600).

331234121232 is an abundant number, since it is smaller than the sum of its proper divisors (775395049968).

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

331234121232 is a wasteful number, since it uses less digits than its factorization.

331234121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2799 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 331234121232 its reverse (232121432133), we get a palindrome (563355553365).

The spelling of 331234121232 in words is "three hundred thirty-one billion, two hundred thirty-four million, one hundred twenty-one thousand, two hundred thirty-two".