331212000000 has 504 divisors, whose sum is σ = 1259598876928. Its totient is φ = 75686400000.

The previous prime is 331211999939. The next prime is 331212000001. The reversal of 331212000000 is 212133.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 331212000000.

It is not an unprimeable number, because it can be changed into a prime (331212000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83998029 + ... + 84001971.

Almost surely, 2^331212000000 is an apocalyptic number.

331212000000 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 331212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629799438464).

331212000000 is an abundant number, since it is smaller than the sum of its proper divisors (928386876928).

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

331212000000 is an frugal number, since it uses more digits than its factorization.

331212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3960 counting only the distinct ones).

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

Adding to 331212000000 its reverse (212133), we get a palindrome (331212212133).

It can be divided in two parts, 3 and 31212000000, that multiplied together give a square (93636000000 = 306000²).

The spelling of 331212000000 in words is "three hundred thirty-one billion, two hundred twelve million", and thus it is an aban number.