220212221000220 has 144 divisors (see below), whose sum is σ = 689854399678080. Its totient is φ = 56828054350848.

The previous prime is 220212221000207. The next prime is 220212221000227. The reversal of 220212221000220 is 22000122212022.

220212221000220 is a `hidden beast` number, since 2 + 20 + 212 + 2 + 210 + 0 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220212221000193 and 220212221000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212221000227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145481967 + ... + 146987846.

It is an arithmetic number, because the mean of its divisors is an integer number (4790655553320).

Almost surely, 2^{220212221000220} is an apocalyptic number.

220212221000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212221000220 is an abundant number, since it is smaller than the sum of its proper divisors (469642178677860).

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

220212221000220 is a wasteful number, since it uses less digits than its factorization.

220212221000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292469964 (or 292469959 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212221000220 its reverse (22000122212022), we get a palindrome (242212343212242).

The spelling of 220212221000220 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty-one million, two hundred twenty", and thus it is an aban number.