220221020212000 has 96 divisors (see below), whose sum is σ = 546661223362800. Its totient is φ = 87180280012800.

The previous prime is 220221020211989. The next prime is 220221020212003. The reversal of 220221020212000 is 212020122022.

It can be written as a sum of positive squares in 8 ways, for example, as 930769575696 + 219290250636304 = 964764^2 + 14808452^2 .

It is a super-2 number, since 2×220221020212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220221020212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283401975 + ... + 284177974.

Almost surely, 2^{220221020212000} is an apocalyptic number.

220221020212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221020212000 is an abundant number, since it is smaller than the sum of its proper divisors (326440203150800).

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

220221020212000 is an equidigital number, since it uses as much as digits as its factorization.

220221020212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567580071 (or 567580053 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220221020212000 its reverse (212020122022), we get a palindrome (220433040334022).

The spelling of 220221020212000 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty million, two hundred twelve thousand".