3000133112112 has 120 divisors (see below), whose sum is σ = 8489387711376. Its totient is φ = 988978249728.

The previous prime is 3000133112111. The next prime is 3000133112131. The reversal of 3000133112112 is 2112113310003.

3000133112112 is a `hidden beast` number, since 300 + 0 + 1 + 331 + 1 + 21 + 12 = 666.

It is a super-2 number, since 2×3000133112112² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3000133112111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8721688 + ... + 9059144.

Almost surely, 2^{3000133112112} 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 3000133112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244693855688).

3000133112112 is an abundant number, since it is smaller than the sum of its proper divisors (5489254599264).

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

3000133112112 is a wasteful number, since it uses less digits than its factorization.

3000133112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338155 (or 338146 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3000133112112 its reverse (2112113310003), we get a palindrome (5112246422115).

The spelling of 3000133112112 in words is "three trillion, one hundred thirty-three million, one hundred twelve thousand, one hundred twelve".