12211166828700 has 1728 divisors, whose sum is σ = 51322365158400. Its totient is φ = 2469519360000.

The previous prime is 12211166828681. The next prime is 12211166828701. The reversal of 12211166828700 is 782866111221.

It is a super-3 number, since 3×12211166828700³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (12211166828701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3052026700 + ... + 3052030700.

It is an arithmetic number, because the mean of its divisors is an integer number (29700442800).

Almost surely, 2^{12211166828700} is an apocalyptic number.

12211166828700 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 12211166828700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661182579200).

12211166828700 is an abundant number, since it is smaller than the sum of its proper divisors (39111198329700).

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

12211166828700 is a wasteful number, since it uses less digits than its factorization.

12211166828700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12211166828700 in words is "twelve trillion, two hundred eleven billion, one hundred sixty-six million, eight hundred twenty-eight thousand, seven hundred".