12004641120 has 192 divisors, whose sum is σ = 41122178496. Its totient is φ = 2931425280.

The previous prime is 12004641107. The next prime is 12004641151. The reversal of 12004641120 is 2114640021.

It is a happy number.

It is a super-2 number, since 2×12004641120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282040 + ... + 321800.

It is an arithmetic number, because the mean of its divisors is an integer number (214178013).

Almost surely, 2^12004641120 is an apocalyptic number.

12004641120 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 12004641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561089248).

12004641120 is an abundant number, since it is smaller than the sum of its proper divisors (29117537376).

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

12004641120 is a wasteful number, since it uses less digits than its factorization.

12004641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39833 (or 39825 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 12004641120 in words is "twelve billion, four million, six hundred forty-one thousand, one hundred twenty".