11972233800 has 108 divisors (see below), whose sum is σ = 40222347945. Its totient is φ = 3191357760.

The previous prime is 11972233787. The next prime is 11972233807. The reversal of 11972233800 is 833227911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11732789124 + 239444676 = 108318^2 + 15474^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=77370.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11972233807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4640911 + ... + 4643489.

Almost surely, 2^11972233800 is an apocalyptic number.

11972233800 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 11972233800

11972233800 is an abundant number, since it is smaller than the sum of its proper divisors (28250114145).

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

11972233800 is an equidigital number, since it uses as much as digits as its factorization.

11972233800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11972233800 in words is "eleven billion, nine hundred seventy-two million, two hundred thirty-three thousand, eight hundred".