12201113100000 has 576 divisors, whose sum is σ = 44105241083904. Its totient is φ = 2928480000000.

The previous prime is 12201113099971. The next prime is 12201113100023. The reversal of 12201113100000 is 131110221.

It is a super-2 number, since 2×12201113100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 333281697 + ... + 333318303.

It is an arithmetic number, because the mean of its divisors is an integer number (76571599104).

Almost surely, 2^{12201113100000} is an apocalyptic number.

12201113100000 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 12201113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052620541952).

12201113100000 is an abundant number, since it is smaller than the sum of its proper divisors (31904127983904).

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

12201113100000 is a wasteful number, since it uses less digits than its factorization.

12201113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36757 (or 36729 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12201113100000 its reverse (131110221), we get a palindrome (12201244210221).

The spelling of 12201113100000 in words is "twelve trillion, two hundred one billion, one hundred thirteen million, one hundred thousand".