12059791450200 has 672 divisors, whose sum is σ = 47656019350800. Its totient is φ = 2812315438080.

The previous prime is 12059791450129. The next prime is 12059791450303. The reversal of 12059791450200 is 205419795021.

12059791450200 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 97 + 91 + 450 + 20 + 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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35845162 + ... + 36180038.

Almost surely, 2^{12059791450200} is an apocalyptic number.

12059791450200 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 12059791450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23828009675400).

12059791450200 is an abundant number, since it is smaller than the sum of its proper divisors (35596227900600).

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

12059791450200 is a wasteful number, since it uses less digits than its factorization.

12059791450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334943 (or 334919 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 12059791450200 in words is "twelve trillion, fifty-nine billion, seven hundred ninety-one million, four hundred fifty thousand, two hundred".