12231761920 has 224 divisors, whose sum is σ = 34484511168. Its totient is φ = 4076863488.

The previous prime is 12231761909. The next prime is 12231761923. The reversal of 12231761920 is 2916713221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231761923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10608064 + ... + 10609216.

Almost surely, 2^12231761920 is an apocalyptic number.

12231761920 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 12231761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242255584).

12231761920 is an abundant number, since it is smaller than the sum of its proper divisors (22252749248).

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

12231761920 is an equidigital number, since it uses as much as digits as its factorization.

12231761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 12231761920 in words is "twelve billion, two hundred thirty-one million, seven hundred sixty-one thousand, nine hundred twenty".