20121220220 has 192 divisors, whose sum is σ = 46467993600. Its totient is φ = 7300177920.

The previous prime is 20121220187. The next prime is 20121220241. The reversal of 20121220220 is 2202212102.

It is a junction number, because it is equal to n+sod(n) for n = 20121220195 and 20121220204.

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 63 ways as a sum of consecutive naturals, for example, 144756911 + ... + 144757049.

It is an arithmetic number, because the mean of its divisors is an integer number (242020800).

Almost surely, 2^20121220220 is an apocalyptic number.

20121220220 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 20121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233996800).

20121220220 is an abundant number, since it is smaller than the sum of its proper divisors (26346773380).

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

20121220220 is a wasteful number, since it uses less digits than its factorization.

20121220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20121220220 its reverse (2202212102), we get a palindrome (22323432322).

The spelling of 20121220220 in words is "twenty billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".