3121144233312 has 144 divisors (see below), whose sum is σ = 9552755907072. Its totient is φ = 889685879040.

The previous prime is 3121144233203. The next prime is 3121144233391. The reversal of 3121144233312 is 2133324411213.

It is a super-3 number, since 3×3121144233312³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3121144233312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257693 + ... + 2797155.

It is an arithmetic number, because the mean of its divisors is an integer number (66338582688).

Almost surely, 2^{3121144233312} is an apocalyptic number.

3121144233312 is a gapful number since it is divisible by the number (32) 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 3121144233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776377953536).

3121144233312 is an abundant number, since it is smaller than the sum of its proper divisors (6431611673760).

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

3121144233312 is a wasteful number, since it uses less digits than its factorization.

3121144233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539921 (or 1539906 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 3121144233312 its reverse (2133324411213), we get a palindrome (5254468644525).

The spelling of 3121144233312 in words is "three trillion, one hundred twenty-one billion, one hundred forty-four million, two hundred thirty-three thousand, three hundred twelve".