220011322321200 has 240 divisors, whose sum is σ = 712366208323200. Its totient is φ = 58039280087040.

The previous prime is 220011322321163. The next prime is 220011322321223. The reversal of 220011322321200 is 2123223110022.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 69367651 + ... + 72469949.

It is an arithmetic number, because the mean of its divisors is an integer number (2968192534680).

Almost surely, 2^{220011322321200} is an apocalyptic number.

220011322321200 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 220011322321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356183104161600).

220011322321200 is an abundant number, since it is smaller than the sum of its proper divisors (492354886002000).

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

220011322321200 is a wasteful number, since it uses less digits than its factorization.

220011322321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102956 (or 3102945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220011322321200 its reverse (2123223110022), we get a palindrome (222134545431222).

The spelling of 220011322321200 in words is "two hundred twenty trillion, eleven billion, three hundred twenty-two million, three hundred twenty-one thousand, two hundred".