2211131130012 has 384 divisors, whose sum is σ = 6767195258880. Its totient is φ = 611392803840.

The previous prime is 2211131130011. The next prime is 2211131130023. The reversal of 2211131130012 is 2100311311122.

2211131130012 is a `hidden beast` number, since 221 + 1 + 131 + 1 + 300 + 12 = 666.

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 (2211131130011) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 648994813 + ... + 648998219.

It is an arithmetic number, because the mean of its divisors is an integer number (17622904320).

Almost surely, 2^{2211131130012} 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 2211131130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383597629440).

2211131130012 is an abundant number, since it is smaller than the sum of its proper divisors (4556064128868).

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

2211131130012 is a wasteful number, since it uses less digits than its factorization.

2211131130012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

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

Adding to 2211131130012 its reverse (2100311311122), we get a palindrome (4311442441134).

The spelling of 2211131130012 in words is "two trillion, two hundred eleven billion, one hundred thirty-one million, one hundred thirty thousand, twelve".