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122201112102212 = 2211135910135851369
BaseRepresentation
bin11011110010010000101001…
…111000001100010101000100
3121000200022102121112012211202
4123302100221320030111010
5112004120334144232322
61111522225500122032
734511511322305563
oct3362205170142504
9530608377465752
10122201112102212
1135a34223007030
1211857489236318
13532569150a550
1422267cb5adbda
15e1dae852e292
hex6f2429e0c544

122201112102212 has 96 divisors (see below), whose sum is σ = 258026612054400. Its totient is φ = 49905104256000.

The previous prime is 122201112102149. The next prime is 122201112102217. The reversal of 122201112102212 is 212201211102221.

It is a super-2 number, since 2×1222011121022122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122201112102217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14517137 + ... + 21334232.

It is an arithmetic number, because the mean of its divisors is an integer number (2687777208900).

Almost surely, 2122201112102212 is an apocalyptic number.

It is an amenable number.

122201112102212 is an abundant number, since it is smaller than the sum of its proper divisors (135825499952188).

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

122201112102212 is a wasteful number, since it uses less digits than its factorization.

122201112102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35851557 (or 35851555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122201112102212 its reverse (212201211102221), we get a palindrome (334402323204433).

Subtracting 122201112102212 from its reverse (212201211102221), we obtain a palindrome (90000099000009).

The spelling of 122201112102212 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 11 13 22 26 44 52 59 101 118 143 202 236 286 404 572 649 767 1111 1298 1313 1534 2222 2596 2626 3068 4444 5252 5959 8437 11918 14443 16874 23836 28886 33748 57772 65549 77467 131098 154934 262196 309868 852137 1704274 3408548 35851369 71702738 143405476 394365059 466067797 788730118 932135594 1577460236 1864271188 2115230771 3620988269 4230461542 5126745767 7241976538 8460923084 10253491534 14483953076 20506983068 23267538481 27498000023 39830870959 46535076962 47072847497 54996000046 79661741918 93070153924 94145694994 109992000092 159323483836 188291389988 213638307871 302478000253 427276615742 517801322467 604956000506 854553231484 1035602644934 1209912001012 2071205289868 2350021386581 2777298002323 4700042773162 5554596004646 9400085546324 11109192009292 30550278025553 61100556051106 122201112102212