20121122210200 has 144 divisors (see below), whose sum is σ = 51426220230000. Its totient is φ = 7316044243200.

The previous prime is 20121122210131. The next prime is 20121122210201. The reversal of 20121122210200 is 201222112102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121122210201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 283564326 + ... + 283635274.

It is an arithmetic number, because the mean of its divisors is an integer number (357126529375).

Almost surely, 2^{20121122210200} is an apocalyptic number.

20121122210200 is a gapful number since it is divisible by the number (20) 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 20121122210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25713110115000).

20121122210200 is an abundant number, since it is smaller than the sum of its proper divisors (31305098019800).

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

20121122210200 is a wasteful number, since it uses less digits than its factorization.

20121122210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82706 (or 82686 counting only the distinct ones).

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

Adding to 20121122210200 its reverse (201222112102), we get a palindrome (20322344322302).

The spelling of 20121122210200 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, two hundred".