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220001200012220 = 2251131367271932327
BaseRepresentation
bin110010000001011100000101…
…011000000111101110111100
31001211221220112220010111112012
4302001130011120013232330
5212313444424200342340
62055523053412030352
764224363553305344
oct6201340530075674
91054856486114465
10220001200012220
116410aa91a95320
12208118589023b8
13959b04106c803
143c481873b5d24
151a67b09464565
hexc81705607bbc

220001200012220 has 192 divisors, whose sum is σ = 521886514544640. Its totient is φ = 77178040531200.

The previous prime is 220001200012219. The next prime is 220001200012291. The reversal of 220001200012220 is 22210002100022.

It is a super-4 number, since 4×2200012000122204 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220001200012195 and 220001200012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6805477697 + ... + 6805510023.

It is an arithmetic number, because the mean of its divisors is an integer number (2718158929920).

Almost surely, 2220001200012220 is an apocalyptic number.

220001200012220 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 220001200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260943257272320).

220001200012220 is an abundant number, since it is smaller than the sum of its proper divisors (301885314532420).

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

220001200012220 is a wasteful number, since it uses less digits than its factorization.

220001200012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35464 (or 35462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220001200012220 its reverse (22210002100022), we get a palindrome (242211202112242).

The spelling of 220001200012220 in words is "two hundred twenty trillion, one billion, two hundred million, twelve thousand, two hundred twenty".