Search a number
-
+
12221220120021 = 341129541987281
BaseRepresentation
bin1011000111010111100101…
…1110111110010111010101
31121021100002211202120120000
42301311321132332113111
53100213024322320041
641554203453001513
72400645141010443
oct261657136762725
947240084676500
1012221220120021
113991a99173280
121454679a83299
136a85c1103aa3
14303720031b93
15162d7e2c2bb6
hexb1d797be5d5

12221220120021 has 80 divisors (see below), whose sum is σ = 20606861246400. Its totient is φ = 7149991564800.

The previous prime is 12221220119981. The next prime is 12221220120023. The reversal of 12221220120021 is 12002102212221.

It is a happy number.

12221220120021 is a `hidden beast` number, since 1 + 2 + 221 + 220 + 1 + 200 + 21 = 666.

It is not a de Polignac number, because 12221220120021 - 26 = 12221220119957 is a prime.

It is a super-2 number, since 2×122212201200212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221220119976 and 12221220120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221220120023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139977901 + ... + 140065181.

It is an arithmetic number, because the mean of its divisors is an integer number (257585765580).

Almost surely, 212221220120021 is an apocalyptic number.

12221220120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221220120021 is a deficient number, since it is larger than the sum of its proper divisors (8385641126379).

12221220120021 is a wasteful number, since it uses less digits than its factorization.

12221220120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92752 (or 92743 counting only the distinct ones).

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

Adding to 12221220120021 its reverse (12002102212221), we get a palindrome (24223322332242).

The spelling of 12221220120021 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 2349 2871 5419 8613 16257 25839 48771 59609 87281 146313 157151 178827 261843 438939 471453 536481 785529 960091 1414359 1609443 1728661 2356587 2531149 2880273 4243077 4828329 5185983 7069761 7593447 8640819 12729231 15557949 22780341 25922457 27842639 46673847 68341023 77767371 83527917 140021541 205023069 250583751 472975739 751751253 1418927217 2255253759 4256781651 5202733129 12770344953 13716296431 15608199387 38311034859 41148889293 46824598161 123446667879 140473794483 150879260741 370340003637 421421383449 452637782223 1111020010911 1357913346669 4073740040007 12221220120021