3112300121112 has 768 divisors, whose sum is σ = 11012353228800. Its totient is φ = 797002053120.

The previous prime is 3112300121107. The next prime is 3112300121141. The reversal of 3112300121112 is 2111210032113.

3112300121112 is a `hidden beast` number, since 311 + 230 + 0 + 12 + 1 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2098650723 + ... + 2098652205.

It is an arithmetic number, because the mean of its divisors is an integer number (14339001600).

Almost surely, 2^{3112300121112} 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 3112300121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506176614400).

3112300121112 is an abundant number, since it is smaller than the sum of its proper divisors (7900053107688).

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

3112300121112 is a wasteful number, since it uses less digits than its factorization.

3112300121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1742 counting only the distinct ones).

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

Adding to 3112300121112 its reverse (2111210032113), we get a palindrome (5223510153225).

It can be divided in two parts, 31123001 and 21112, that added together give a palindrome (31144113).

The spelling of 3112300121112 in words is "three trillion, one hundred twelve billion, three hundred million, one hundred twenty-one thousand, one hundred twelve".