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221001212021220 = 223354762111401979
BaseRepresentation
bin110010001111111111011010…
…101111001100100111100100
31001222111111202110011001021000
4302033333122233030213210
5212431340440234134340
62102010315531553300
764356545025162141
oct6217773257144744
91058444673131230
10221001212021220
11644660a6772804
12209536228bb830
13964142b981467
143c807312673c8
151a83b36c9dd30
hexc8ffdabcc9e4

221001212021220 has 192 divisors, whose sum is σ = 702301804646400. Its totient is φ = 57670421109120.

The previous prime is 221001212021207. The next prime is 221001212021237. The reversal of 221001212021220 is 22120212100122.

It is a happy number.

221001212021220 is a `hidden beast` number, since 2 + 210 + 0 + 1 + 212 + 0 + 21 + 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 = 221001212021193 and 221001212021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156934191 + ... + 158336169.

It is an arithmetic number, because the mean of its divisors is an integer number (3657821899200).

Almost surely, 2221001212021220 is an apocalyptic number.

221001212021220 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 221001212021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351150902323200).

221001212021220 is an abundant number, since it is smaller than the sum of its proper divisors (481300592625180).

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

221001212021220 is a wasteful number, since it uses less digits than its factorization.

221001212021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408255 (or 1408247 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221001212021220 its reverse (22120212100122), we get a palindrome (243121424121342).

The spelling of 221001212021220 in words is "two hundred twenty-one trillion, one billion, two hundred twelve million, twenty-one thousand, two hundred twenty".