12190521168 has 160 divisors (see below), whose sum is σ = 40031723520. Its totient is φ = 3479379840.

The previous prime is 12190521137. The next prime is 12190521173. The reversal of 12190521168 is 86112509121.

12190521168 is a `hidden beast` number, since 121 + 9 + 0 + 521 + 1 + 6 + 8 = 666.

12190521168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4495333 + ... + 4498043.

It is an arithmetic number, because the mean of its divisors is an integer number (250198272).

Almost surely, 2^12190521168 is an apocalyptic number.

12190521168 is a gapful number since it is divisible by the number (18) 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 12190521168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015861760).

12190521168 is an abundant number, since it is smaller than the sum of its proper divisors (27841202352).

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

12190521168 is a wasteful number, since it uses less digits than its factorization.

12190521168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 12190521168 in words is "twelve billion, one hundred ninety million, five hundred twenty-one thousand, one hundred sixty-eight".