12001011200 has 120 divisors (see below), whose sum is σ = 29847514488. Its totient is φ = 4781998080.

The previous prime is 12001011163. The next prime is 12001011203. The reversal of 12001011200 is 211010021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3620744 + ... + 3624056.

Almost surely, 2^12001011200 is an apocalyptic number.

12001011200 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 12001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923757244).

12001011200 is an abundant number, since it is smaller than the sum of its proper divisors (17846503288).

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

12001011200 is an equidigital number, since it uses as much as digits as its factorization.

12001011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001011200 its reverse (211010021), we get a palindrome (12212021221).

The spelling of 12001011200 in words is "twelve billion, one million, eleven thousand, two hundred".