12011813200 has 120 divisors (see below), whose sum is σ = 29744495288. Its totient is φ = 4658135040.

The previous prime is 12011813197. The next prime is 12011813201. The reversal of 12011813200 is 231811021.

It can be written as a sum of positive squares in 12 ways, for example, as 3913253136 + 8098560064 = 62556^2 + 89992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011813201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4631104 + ... + 4633696.

Almost surely, 2^12011813200 is an apocalyptic number.

12011813200 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 12011813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872247644).

12011813200 is an abundant number, since it is smaller than the sum of its proper divisors (17732682088).

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

12011813200 is a wasteful number, since it uses less digits than its factorization.

12011813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The spelling of 12011813200 in words is "twelve billion, eleven million, eight hundred thirteen thousand, two hundred".