12011441200 has 120 divisors (see below), whose sum is σ = 31520969136. Its totient is φ = 4362240000.

The previous prime is 12011441129. The next prime is 12011441209. The reversal of 12011441200 is 214411021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12011441209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5283264 + ... + 5285536.

Almost surely, 2^12011441200 is an apocalyptic number.

12011441200 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 12011441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760484568).

12011441200 is an abundant number, since it is smaller than the sum of its proper divisors (19509527936).

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

12011441200 is a wasteful number, since it uses less digits than its factorization.

12011441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12011441200 its reverse (214411021), we get a palindrome (12225852221).

It can be divided in two parts, 1201 and 1441200, that added together give a square (1442401 = 1201²).

The spelling of 12011441200 in words is "twelve billion, eleven million, four hundred forty-one thousand, two hundred".