220202121200 has 60 divisors (see below), whose sum is σ = 529601103360. Its totient is φ = 87986695680.

The previous prime is 220202121173. The next prime is 220202121221. The reversal of 220202121200 is 2121202022.

220202121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 81041 + ... + 668559.

It is an arithmetic number, because the mean of its divisors is an integer number (8826685056).

Almost surely, 2^220202121200 is an apocalyptic number.

220202121200 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 220202121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264800551680).

220202121200 is an abundant number, since it is smaller than the sum of its proper divisors (309398982160).

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

220202121200 is a wasteful number, since it uses less digits than its factorization.

220202121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588474 (or 588463 counting only the distinct ones).

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

Adding to 220202121200 its reverse (2121202022), we get a palindrome (222323323222).

The spelling of 220202121200 in words is "two hundred twenty billion, two hundred two million, one hundred twenty-one thousand, two hundred".