12011233200 has 240 divisors, whose sum is σ = 39095786400. Its totient is φ = 3151872000.

The previous prime is 12011233177. The next prime is 12011233207. The reversal of 12011233200 is 233211021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011233200.

It is not an unprimeable number, because it can be changed into a prime (12011233207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29953000 + ... + 29953400.

It is an arithmetic number, because the mean of its divisors is an integer number (162899110).

Almost surely, 2^12011233200 is an apocalyptic number.

12011233200 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 12011233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547893200).

12011233200 is an abundant number, since it is smaller than the sum of its proper divisors (27084553200).

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

12011233200 is a wasteful number, since it uses less digits than its factorization.

12011233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12011233200 its reverse (233211021), we get a palindrome (12244444221).

The spelling of 12011233200 in words is "twelve billion, eleven million, two hundred thirty-three thousand, two hundred".