12056739840 has 600 divisors, whose sum is σ = 45674576640. Its totient is φ = 3036413952.

The previous prime is 12056739829. The next prime is 12056739841. The reversal of 12056739840 is 4893765021.

12056739840 is a `hidden beast` number, since 1 + 2 + 0 + 567 + 3 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056739841) 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 39 ways as a sum of consecutive naturals, for example, 152616921 + ... + 152616999.

It is a 1-persistent number, because it is pandigital, but 2⋅12056739840 = 24113479680 is not.

Almost surely, 2^12056739840 is an apocalyptic number.

12056739840 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 12056739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837288320).

12056739840 is an abundant number, since it is smaller than the sum of its proper divisors (33617836800).

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

12056739840 is an frugal number, since it uses more digits than its factorization.

12056739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12056739840 in words is "twelve billion, fifty-six million, seven hundred thirty-nine thousand, eight hundred forty".