12192767520 has 144 divisors (see below), whose sum is σ = 38963514240. Its totient is φ = 3204974080.

The previous prime is 12192767497. The next prime is 12192767527. The reversal of 12192767520 is 2576729121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192767527) 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, 2417161 + ... + 2422199.

It is an arithmetic number, because the mean of its divisors is an integer number (270579960).

Almost surely, 2^12192767520 is an apocalyptic number.

12192767520 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 12192767520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19481757120).

12192767520 is an abundant number, since it is smaller than the sum of its proper divisors (26770746720).

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

12192767520 is an equidigital number, since it uses as much as digits as its factorization.

12192767520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 12192767520 in words is "twelve billion, one hundred ninety-two million, seven hundred sixty-seven thousand, five hundred twenty".