12081290782500 has 540 divisors, whose sum is σ = 40500439607628. Its totient is φ = 3033288000000.

The previous prime is 12081290782489. The next prime is 12081290782529. The reversal of 12081290782500 is 528709218021.

12081290782500 is a `hidden beast` number, since 1 + 208 + 129 + 0 + 78 + 250 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9142253715456 + 2939037067044 = 3023616^2 + 1714362^2 .

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

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 800024950 + ... + 800040050.

Almost surely, 2^{12081290782500} is an apocalyptic number.

12081290782500 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 12081290782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250219803814).

12081290782500 is an abundant number, since it is smaller than the sum of its proper divisors (28419148825128).

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

12081290782500 is a wasteful number, since it uses less digits than its factorization.

12081290782500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12081290782500 in words is "twelve trillion, eighty-one billion, two hundred ninety million, seven hundred eighty-two thousand, five hundred".