12146329728 has 896 divisors, whose sum is σ = 44951155200. Its totient is φ = 3224862720.

The previous prime is 12146329691. The next prime is 12146329729. The reversal of 12146329728 is 82792364121.

12146329728 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 632 + 9 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×12146329728² (a number of 21 digits) contains 22 as substring.

Its product of digits (290304) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (12146329729) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 391817073 + ... + 391817103.

It is an arithmetic number, because the mean of its divisors is an integer number (50168700).

Almost surely, 2^12146329728 is an apocalyptic number.

12146329728 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 12146329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475577600).

12146329728 is an abundant number, since it is smaller than the sum of its proper divisors (32804825472).

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

12146329728 is a wasteful number, since it uses less digits than its factorization.

12146329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 12146329728 in words is "twelve billion, one hundred forty-six million, three hundred twenty-nine thousand, seven hundred twenty-eight".