220121212211200 has 312 divisors, whose sum is σ = 559439917267968. Its totient is φ = 85860400496640.

The previous prime is 220121212211183. The next prime is 220121212211221. The reversal of 220121212211200 is 2112212121022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716733889 + ... + 2716814911.

Almost surely, 2^{220121212211200} is an apocalyptic number.

220121212211200 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 220121212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279719958633984).

220121212211200 is an abundant number, since it is smaller than the sum of its proper divisors (339318705056768).

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

220121212211200 is an equidigital number, since it uses as much as digits as its factorization.

220121212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81717 (or 81690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220121212211200 its reverse (2112212121022), we get a palindrome (222233424332222).

The spelling of 220121212211200 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, two hundred".