12056040000 has 525 divisors, whose sum is σ = 45402154941. Its totient is φ = 3162240000.

The previous prime is 12056039987. The next prime is 12056040001. The reversal of 12056040000 is 4065021.

It is a happy number.

The square root of 12056040000 is 109800.

It is a perfect power (a square), and thus also a powerful number.

12056040000 is a `hidden beast` number, since 1 + 205 + 60 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 11929882176 + 126157824 = 109224^2 + 11232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12056040001) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 197639970 + ... + 197640030.

Almost surely, 2^12056040000 is an apocalyptic number.

12056040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12056040000 is the 109800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12056040000

12056040000 is an abundant number, since it is smaller than the sum of its proper divisors (33346114941).

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

12056040000 is an frugal number, since it uses more digits than its factorization.

12056040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 12056040000 in words is "twelve billion, fifty-six million, forty thousand".