11212012110006 has 192 divisors, whose sum is σ = 26981761296960. Its totient is φ = 3449212416000.

The previous prime is 11212012110001. The next prime is 11212012110007. The reversal of 11212012110006 is 60001121021211.

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 (11212012110001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2482178860 + ... + 2482183376.

It is an arithmetic number, because the mean of its divisors is an integer number (140530006755).

Almost surely, 2^{11212012110006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212012110006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490880648480).

11212012110006 is an abundant number, since it is smaller than the sum of its proper divisors (15769749186954).

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

11212012110006 is a wasteful number, since it uses less digits than its factorization.

11212012110006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11212012110006 its reverse (60001121021211), we get a palindrome (71213133131217).

The spelling of 11212012110006 in words is "eleven trillion, two hundred twelve billion, twelve million, one hundred ten thousand, six".