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12220021220022 = 23271126173369031
BaseRepresentation
bin1011000111010011001000…
…0001100010001010110110
31121021020000021211010221100
42301310302001202022312
53100203100413020042
641553444504230530
72400603342353250
oct261646201421266
947236007733840
1012220021220022
113991533448a30
1214543a446b446
136a845c9061c5
14303648b0acd0
15162d0de0324c
hexb1d320622b6

12220021220022 has 96 divisors (see below), whose sum is σ = 33022550905344. Its totient is φ = 3172817692800.

The previous prime is 12220021219961. The next prime is 12220021220027. The reversal of 12220021220022 is 22002212002221.

12220021220022 is a `hidden beast` number, since 12 + 220 + 0 + 212 + 200 + 22 = 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 = 12220021219977 and 12220021220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220021220027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942647 + ... + 5311677.

It is an arithmetic number, because the mean of its divisors is an integer number (343984905264).

Almost surely, 212220021220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220021220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511275452672).

12220021220022 is an abundant number, since it is smaller than the sum of its proper divisors (20802529685322).

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

12220021220022 is a wasteful number, since it uses less digits than its factorization.

12220021220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371674 (or 3371671 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220021220022 its reverse (22002212002221), we get a palindrome (34222233222243).

The spelling of 12220021220022 in words is "twelve trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 2617 5234 7851 15702 18319 23553 28787 36638 47106 54957 57574 86361 109914 164871 172722 201509 259083 329742 403018 518166 604527 1209054 1813581 3369031 3627162 6738062 10107093 20214186 23583217 30321279 37059341 47166434 60642558 70749651 74118682 111178023 141499302 212248953 222356046 259415387 333534069 424497906 518830774 667068138 778246161 1556492322 2334738483 4669476966 8816754127 17633508254 26450262381 52900524762 61717278889 79350787143 96984295397 123434557778 158701574286 185151836667 193968590794 290952886191 370303673334 555455510001 581905772382 678890067779 872858658573 1110911020002 1357780135558 1745717317146 2036670203337 4073340406674 6110010610011 12220021220022