3112211311000 has 128 divisors (see below), whose sum is σ = 7951319588160. Its totient is φ = 1130759808000.

The previous prime is 3112211310973. The next prime is 3112211311007. The reversal of 3112211311000 is 1131122113.

It is a happy number.

It is a super-3 number, since 3×3112211311000³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112211311007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13004422 + ... + 13241578.

Almost surely, 2^{3112211311000} 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 3112211311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975659794080).

3112211311000 is an abundant number, since it is smaller than the sum of its proper divisors (4839108277160).

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

3112211311000 is a wasteful number, since it uses less digits than its factorization.

3112211311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238382 (or 238368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 3112211311000 its reverse (1131122113), we get a palindrome (3113342433113).

It can be divided in two parts, 31122113 and 11000, that added together give a palindrome (31133113).

The spelling of 3112211311000 in words is "three trillion, one hundred twelve billion, two hundred eleven million, three hundred eleven thousand".