3001013122212 has 192 divisors, whose sum is σ = 8940909465600. Its totient is φ = 852718648320.

The previous prime is 3001013122207. The next prime is 3001013122213. The reversal of 3001013122212 is 2122213101003.

3001013122212 is a `hidden beast` number, since 30 + 0 + 101 + 312 + 221 + 2 = 666.

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 (3001013122213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101128137 + ... + 101157807.

It is an arithmetic number, because the mean of its divisors is an integer number (46567236800).

Almost surely, 2^{3001013122212} 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 3001013122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470454732800).

3001013122212 is an abundant number, since it is smaller than the sum of its proper divisors (5939896343388).

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

3001013122212 is a wasteful number, since it uses less digits than its factorization.

3001013122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30423 (or 30415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3001013122212 its reverse (2122213101003), we get a palindrome (5123226223215).

The spelling of 3001013122212 in words is "three trillion, one billion, thirteen million, one hundred twenty-two thousand, two hundred twelve".