12201084249750 has 768 divisors, whose sum is σ = 37906781552640. Its totient is φ = 2912034240000.

The previous prime is 12201084249719. The next prime is 12201084249751. The reversal of 12201084249750 is 5794248010221.

12201084249750 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 108 + 4 + 2 + 497 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201084249696 and 12201084249705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201084249751) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13912296312 + ... + 13912297188.

It is an arithmetic number, because the mean of its divisors is an integer number (49357788480).

Almost surely, 2^{12201084249750} is an apocalyptic number.

12201084249750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201084249750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18953390776320).

12201084249750 is an abundant number, since it is smaller than the sum of its proper divisors (25705697302890).

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

12201084249750 is a wasteful number, since it uses less digits than its factorization.

12201084249750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12201084249750 in words is "twelve trillion, two hundred one billion, eighty-four million, two hundred forty-nine thousand, seven hundred fifty".