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12200221122021 = 3219151501194291
BaseRepresentation
bin1011000110001001010111…
…0110001001110111100101
31121012022220101102221200100
42301202111312021313211
53044342023101401041
641540412035334313
72366302565325102
oct261422566116745
947168811387610
1012200221122021
1139840a2845279
121450599451399
136a662578009a
143026cb1bdaa9
151625509c26b6
hexb1895d89de5

12200221122021 has 48 divisors (see below), whose sum is σ = 18676816238080. Its totient is φ = 7652764980000.

The previous prime is 12200221121981. The next prime is 12200221122041. The reversal of 12200221122021 is 12022112200221.

It is a happy number.

12200221122021 is a `hidden beast` number, since 1 + 2 + 200 + 221 + 1 + 220 + 21 = 666.

It is not a de Polignac number, because 12200221122021 - 238 = 11925343215077 is a prime.

It is a super-2 number, since 2×122002211220212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12200221121985 and 12200221122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200221122041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 129341886 + ... + 129436176.

Almost surely, 212200221122021 is an apocalyptic number.

It is an amenable number.

12200221122021 is a deficient number, since it is larger than the sum of its proper divisors (6476595116059).

12200221122021 is a wasteful number, since it uses less digits than its factorization.

12200221122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99478 (or 99475 counting only the distinct ones).

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

Adding to 12200221122021 its reverse (12022112200221), we get a palindrome (24222333322242).

The spelling of 12200221122021 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 19 57 151 171 453 1359 2869 5011 8607 15033 25821 45099 94291 95209 282873 285627 756661 848619 856881 1791529 2269983 5374587 6809949 14237941 14376559 16123761 42713823 43129677 128141469 129389031 270520879 472492201 811562637 1417476603 2434687911 4252429809 8977351819 26932055457 71346322351 80796166371 214038967053 642116901159 1355580124669 4066740374007 12200221122021