12200221122100 has 144 divisors (see below), whose sum is σ = 29216585018880. Its totient is φ = 4385230499200.

The previous prime is 12200221122049. The next prime is 12200221122113. The reversal of 12200221122100 is 122112200221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32696787 + ... + 33067813.

It is an arithmetic number, because the mean of its divisors is an integer number (202892951520).

Almost surely, 2^{12200221122100} is an apocalyptic number.

12200221122100 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 12200221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608292509440).

12200221122100 is an abundant number, since it is smaller than the sum of its proper divisors (17016363896780).

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

12200221122100 is a wasteful number, since it uses less digits than its factorization.

12200221122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371398 (or 371391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12200221122100 its reverse (122112200221), we get a palindrome (12322333322321).

It can be divided in two parts, 12200221 and 122100, that added together give a palindrome (12322321).

The spelling of 12200221122100 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".