12010111200 has 216 divisors, whose sum is σ = 43496231688. Its totient is φ = 3116067840.

The previous prime is 12010111153. The next prime is 12010111229. The reversal of 12010111200 is 211101021.

It is a happy number.

12010111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 243859 + ... + 288941.

It is an arithmetic number, because the mean of its divisors is an integer number (201371443).

Almost surely, 2^12010111200 is an apocalyptic number.

12010111200 is a gapful number since it is divisible by the number (10) 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 12010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748115844).

12010111200 is an abundant number, since it is smaller than the sum of its proper divisors (31486120488).

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

12010111200 is a wasteful number, since it uses less digits than its factorization.

12010111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45146 (or 45130 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010111200 its reverse (211101021), we get a palindrome (12221212221).

The spelling of 12010111200 in words is "twelve billion, ten million, one hundred eleven thousand, two hundred".