12168721152 has 864 divisors, whose sum is σ = 46230374400. Its totient is φ = 3135283200.

The previous prime is 12168721151. The next prime is 12168721163. The reversal of 12168721152 is 25112786121.

It is a happy number.

12168721152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 (12168721151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199487202 + ... + 199487262.

Almost surely, 2^12168721152 is an apocalyptic number.

12168721152 is a gapful number since it is divisible by the number (12) 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 12168721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115187200).

12168721152 is an abundant number, since it is smaller than the sum of its proper divisors (34061653248).

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

12168721152 is a wasteful number, since it uses less digits than its factorization.

12168721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The spelling of 12168721152 in words is "twelve billion, one hundred sixty-eight million, seven hundred twenty-one thousand, one hundred fifty-two".