3123211123312 has 80 divisors (see below), whose sum is σ = 7084165727232. Its totient is φ = 1306081370880.

The previous prime is 3123211123301. The next prime is 3123211123327. The reversal of 3123211123312 is 2133211123213.

It is a super-3 number, since 3×3123211123312³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846138 + ... + 2638630.

Almost surely, 2^{3123211123312} 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 3123211123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542082863616).

3123211123312 is an abundant number, since it is smaller than the sum of its proper divisors (3960954603920).

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

3123211123312 is a wasteful number, since it uses less digits than its factorization.

3123211123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792886 (or 1792880 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

Adding to 3123211123312 its reverse (2133211123213), we get a palindrome (5256422246525).

Subtracting from 3123211123312 its reverse (2133211123213), we obtain a palindrome (990000000099).

The spelling of 3123211123312 in words is "three trillion, one hundred twenty-three billion, two hundred eleven million, one hundred twenty-three thousand, three hundred twelve".