12010022112 has 96 divisors (see below), whose sum is σ = 34420014720. Its totient is φ = 3636472320.

The previous prime is 12010022093. The next prime is 12010022119. The reversal of 12010022112 is 21122001021.

12010022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12010022112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010022119) 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 15 ways as a sum of consecutive naturals, for example, 1562214 + ... + 1569882.

It is an arithmetic number, because the mean of its divisors is an integer number (358541820).

Almost surely, 2^12010022112 is an apocalyptic number.

12010022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210007360).

12010022112 is an abundant number, since it is smaller than the sum of its proper divisors (22409992608).

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

12010022112 is a wasteful number, since it uses less digits than its factorization.

12010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010022112 its reverse (21122001021), we get a palindrome (33132023133).

The spelling of 12010022112 in words is "twelve billion, ten million, twenty-two thousand, one hundred twelve".