Search a number
-
+
12101012212212 = 223271131140820791
BaseRepresentation
bin1011000000010111110010…
…0010001100100111110100
31120211211211100101011011100
42300011330202030213310
53041230333111242322
641423043412210100
72356161235444020
oct260057442144764
946754740334140
1012101012212212
113946012a14a20
121435310609930
1369a174b23c61
142db999249380
1515eb95e4edac
hexb017c88c9f4

12101012212212 has 144 divisors (see below), whose sum is σ = 39366734045184. Its totient is φ = 3041729064000.

The previous prime is 12101012212207. The next prime is 12101012212231. The reversal of 12101012212212 is 21221221010121.

12101012212212 is a `hidden beast` number, since 1 + 210 + 10 + 1 + 221 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70324464 + ... + 70496327.

It is an arithmetic number, because the mean of its divisors is an integer number (273380097536).

Almost surely, 212101012212212 is an apocalyptic number.

12101012212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101012212212 is an abundant number, since it is smaller than the sum of its proper divisors (27265721832972).

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

12101012212212 is a wasteful number, since it uses less digits than its factorization.

12101012212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140820850 (or 140820845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12101012212212 its reverse (21221221010121), we get a palindrome (33322233222333).

The spelling of 12101012212212 in words is "twelve trillion, one hundred one billion, twelve million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 28644 42966 85932 140820791 281641582 422462373 563283164 844924746 985745537 1267387119 1549028701 1689849492 1971491074 2534774238 2957236611 3098057402 3942982148 4365444521 4647086103 5069548476 5914473222 6196114804 8730889042 8871709833 9294172206 10843200907 11828946444 13096333563 13941258309 17461778084 17743419666 18588344412 21686401814 26192667126 27882516618 30558111647 32529602721 35486839332 39289000689 43372803628 48019889731 52385334252 55765033236 61116223294 65059205442 78578001378 91674334941 96039779462 97588808163 122232446588 130118410884 144059669193 157156002756 183348669882 192079558924 195177616326 275023004823 288119338386 336139228117 366697339764 390355232652 432179007579 550046009646 576238676772 672278456234 864358015158 1008417684351 1100092019292 1344556912468 1728716030316 2016835368702 3025253053053 4033670737404 6050506106106 12101012212212