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12221001121021 = 7112317356370849
BaseRepresentation
bin1011000111010110110001…
…1011100011110011111101
31121021022112120200021101221
42301311230123203303331
53100212102241333041
641554130031033341
72400636541363420
oct261655433436375
947238476607357
1012221001121021
113991996594070
12145461866b851
136a8587926b94
143036dcd059b7
15162d69e642d1
hexb1d6c6e3cfd

12221001121021 has 64 divisors (see below), whose sum is σ = 16019563622400. Its totient is φ = 9039955415040.

The previous prime is 12221001121013. The next prime is 12221001121031. The reversal of 12221001121021 is 12012110012221.

It is not a de Polignac number, because 12221001121021 - 23 = 12221001121013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221001120986 and 12221001121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221001121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172458205 + ... + 172529053.

It is an arithmetic number, because the mean of its divisors is an integer number (250305681600).

Almost surely, 212221001121021 is an apocalyptic number.

12221001121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221001121021 is a deficient number, since it is larger than the sum of its proper divisors (3798562501379).

12221001121021 is a wasteful number, since it uses less digits than its factorization.

12221001121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71626.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221001121021 its reverse (12012110012221), we get a palindrome (24233111133242).

The spelling of 12221001121021 in words is "twelve trillion, two hundred twenty-one billion, one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 7 11 23 77 161 173 253 563 1211 1771 1903 3941 3979 6193 12949 13321 27853 43351 43769 70849 90643 97399 142439 306383 495943 681793 779339 997073 1071389 1629527 2240177 5455373 7499723 11406689 12256877 15681239 17924797 24641947 39887987 85798139 125473579 134825647 172493629 279215909 281908171 438767857 917423701 943779529 1973357197 3071374999 3100989881 6421965907 6900621751 10091660711 21706929167 48304352257 70641624977 75906839261 158714300273 531347874827 1111000101911 1745857303003 12221001121021