220012100220 has 216 divisors, whose sum is σ = 681371833968. Its totient is φ = 53003653120.

The previous prime is 220012100183. The next prime is 220012100261. The reversal of 220012100220 is 22001210022.

220012100220 = T₂₀₀₀₀₀ + T₂₀₀₀₀₁ + ... + T₂₀₀₀₁₀.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220012100196 and 220012100205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 623263564 + ... + 623263916.

Almost surely, 2^220012100220 is an apocalyptic number.

220012100220 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 220012100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340685916984).

220012100220 is an abundant number, since it is smaller than the sum of its proper divisors (461359733748).

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

220012100220 is a wasteful number, since it uses less digits than its factorization.

220012100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220012100220 its reverse (22001210022), we get a palindrome (242013310242).

The spelling of 220012100220 in words is "two hundred twenty billion, twelve million, one hundred thousand, two hundred twenty".