Search a number
-
+
12202211201022 = 2333141177786683
BaseRepresentation
bin1011000110010000110001…
…1101101100111111111110
31121012112001002010102212000
42301210030131230333332
53044410112031413042
641541341325523130
72366403111606513
oct261441435547776
947175032112760
1012202211201022
113984a24126067
121450a53a134a6
136a6881b6281b
1430283961530a
1516261a57574c
hexb190c76cffe

12202211201022 has 64 divisors (see below), whose sum is σ = 28673436395520. Its totient is φ = 3840192331200.

The previous prime is 12202211200997. The next prime is 12202211201051. The reversal of 12202211201022 is 22010211220221.

It is a happy number.

12202211201022 is a `hidden beast` number, since 1 + 220 + 221 + 1 + 201 + 0 + 22 = 666.

It is a super-3 number, since 3×122022112010223 (a number of 40 digits) contains 333 as substring.

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 = 12202211200986 and 12202211201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88824708 + ... + 88961975.

It is an arithmetic number, because the mean of its divisors is an integer number (448022443680).

Almost surely, 212202211201022 is an apocalyptic number.

12202211201022 is an abundant number, since it is smaller than the sum of its proper divisors (16471225194498).

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

12202211201022 is a wasteful number, since it uses less digits than its factorization.

12202211201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177786766 (or 177786760 counting only the distinct ones).

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

Adding to 12202211201022 its reverse (22010211220221), we get a palindrome (34212422421243).

The spelling of 12202211201022 in words is "twelve trillion, two hundred two billion, two hundred eleven million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 41 54 62 82 93 123 186 246 279 369 558 738 837 1107 1271 1674 2214 2542 3813 7626 11439 22878 34317 68634 177786683 355573366 533360049 1066720098 1600080147 3200160294 4800240441 5511387173 7289254003 9600480882 11022774346 14578508006 16534161519 21867762009 33068323038 43735524018 49602484557 65603286027 99204969114 131206572054 148807453671 196809858081 225966874093 297614907342 393619716162 451933748186 677900622279 1355801244558 2033701866837 4067403733674 6101105600511 12202211201022