12046128192 has 672 divisors, whose sum is σ = 45372966912. Its totient is φ = 3087507456.

The previous prime is 12046128173. The next prime is 12046128197. The reversal of 12046128192 is 29182164021.

12046128192 is a `hidden beast` number, since 1 + 2 + 0 + 461 + 2 + 8 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12046128197) 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 95 ways as a sum of consecutive naturals, for example, 42565683 + ... + 42565965.

It is an arithmetic number, because the mean of its divisors is an integer number (67519296).

Almost surely, 2^12046128192 is an apocalyptic number.

12046128192 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 12046128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686483456).

12046128192 is an abundant number, since it is smaller than the sum of its proper divisors (33326838720).

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

12046128192 is a wasteful number, since it uses less digits than its factorization.

12046128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12046128192 in words is "twelve billion, forty-six million, one hundred twenty-eight thousand, one hundred ninety-two".