12056453562240 has 512 divisors, whose sum is σ = 45236582697600. Its totient is φ = 3024268296192.

The previous prime is 12056453562217. The next prime is 12056453562247. The reversal of 12056453562240 is 4226535465021.

12056453562240 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 6 + 45 + 3 + 562 + 2 + 40 = 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 (12056453562247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585453384 + ... + 585473976.

Almost surely, 2^{12056453562240} is an apocalyptic number.

12056453562240 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 12056453562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618291348800).

12056453562240 is an abundant number, since it is smaller than the sum of its proper divisors (33180129135360).

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

12056453562240 is a wasteful number, since it uses less digits than its factorization.

12056453562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22631 (or 22613 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 12056453562240 in words is "twelve trillion, fifty-six billion, four hundred fifty-three million, five hundred sixty-two thousand, two hundred forty".