3011120112312 has 192 divisors, whose sum is σ = 8951755176000. Its totient is φ = 908722298880.

The previous prime is 3011120112311. The next prime is 3011120112353. The reversal of 3011120112312 is 2132110211103.

3011120112312 is a `hidden beast` number, since 30 + 111 + 201 + 12 + 312 = 666.

It is a super-3 number, since 3×3011120112312³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011120112311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20080189 + ... + 20229587.

It is an arithmetic number, because the mean of its divisors is an integer number (46623724875).

Almost surely, 2^{3011120112312} 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 3011120112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475877588000).

3011120112312 is an abundant number, since it is smaller than the sum of its proper divisors (5940635063688).

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

3011120112312 is a wasteful number, since it uses less digits than its factorization.

3011120112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149838 (or 149831 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3011120112312 its reverse (2132110211103), we get a palindrome (5143230323415).

The spelling of 3011120112312 in words is "three trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, three hundred twelve".