220212220211200 has 312 divisors, whose sum is σ = 624877065317088. Its totient is φ = 75403469783040.

The previous prime is 220212220211183. The next prime is 220212220211239. The reversal of 220212220211200 is 2112022212022.

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, 553887684 + ... + 554285116.

Almost surely, 2^{220212220211200} is an apocalyptic number.

220212220211200 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 220212220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312438532658544).

220212220211200 is an abundant number, since it is smaller than the sum of its proper divisors (404664845105888).

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

220212220211200 is an equidigital number, since it uses as much as digits as its factorization.

220212220211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398247 (or 398220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220212220211200 its reverse (2112022212022), we get a palindrome (222324242423222).

The spelling of 220212220211200 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty million, two hundred eleven thousand, two hundred".