3121434413412 has 96 divisors (see below), whose sum is σ = 8617480945920. Its totient is φ = 860422617600.

The previous prime is 3121434413387. The next prime is 3121434413413. The reversal of 3121434413412 is 2143144341213.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3121434413413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676778 + ... + 3661694.

It is an arithmetic number, because the mean of its divisors is an integer number (89765426520).

Almost surely, 2^{3121434413412} 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 3121434413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308740472960).

3121434413412 is an abundant number, since it is smaller than the sum of its proper divisors (5496046532508).

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

3121434413412 is a wasteful number, since it uses less digits than its factorization.

3121434413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986261 (or 986259 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 3121434413412 its reverse (2143144341213), we get a palindrome (5264578754625).

The spelling of 3121434413412 in words is "three trillion, one hundred twenty-one billion, four hundred thirty-four million, four hundred thirteen thousand, four hundred twelve".