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221001221201220 = 22335409261520743
BaseRepresentation
bin110010001111111111011011…
…010010001101110101000100
31001222111111210002102102212000
4302033333123102031311010
5212431341000111414340
62102010320500425300
764356545166205035
oct6217773322156504
91058444702372760
10221001221201220
1164466100972889
12209536259a8230
139641430846a05
143c80732576a8c
151a83b379b3d30
hexc8ffdb48dd44

221001221201220 has 48 divisors (see below), whose sum is σ = 687559354849920. Its totient is φ = 58933658986848.

The previous prime is 221001221201209. The next prime is 221001221201227. The reversal of 221001221201220 is 22102122100122.

It is a happy number.

221001221201220 is a `hidden beast` number, since 2 + 21 + 0 + 0 + 1 + 221 + 201 + 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 = 221001221201193 and 221001221201202.

It is not an unprimeable number, because it can be changed into a prime (221001221201227) 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, 204630759832 + ... + 204630760911.

It is an arithmetic number, because the mean of its divisors is an integer number (14324153226040).

Almost surely, 2221001221201220 is an apocalyptic number.

221001221201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001221201220 is an abundant number, since it is smaller than the sum of its proper divisors (466558133648700).

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

221001221201220 is a wasteful number, since it uses less digits than its factorization.

221001221201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409261520761 (or 409261520753 counting only the distinct ones).

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

Adding to 221001221201220 its reverse (22102122100122), we get a palindrome (243103343301342).

The spelling of 221001221201220 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 409261520743 818523041486 1227784562229 1637046082972 2046307603715 2455569124458 3683353686687 4092615207430 4911138248916 6138922811145 7366707373374 8185230414860 11050061060061 12277845622290 14733414746748 18416768433435 22100122120122 24555691244580 36833536866870 44200244240244 55250305300305 73667073733740 110500610600610 221001221201220