12201221211000 has 256 divisors, whose sum is σ = 39303912960000. Its totient is φ = 3148052544000.

The previous prime is 12201221210953. The next prime is 12201221211029. The reversal of 12201221211000 is 11212210221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588028626 + ... + 588049374.

It is an arithmetic number, because the mean of its divisors is an integer number (153530910000).

Almost surely, 2^{12201221211000} is an apocalyptic number.

12201221211000 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 12201221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651956480000).

12201221211000 is an abundant number, since it is smaller than the sum of its proper divisors (27102691749000).

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

12201221211000 is a wasteful number, since it uses less digits than its factorization.

12201221211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27127 (or 27113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201221211000 its reverse (11212210221), we get a palindrome (12212433421221).

The spelling of 12201221211000 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, two hundred eleven thousand".