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12112222011210 = 2335101527984137
BaseRepresentation
bin1011000001000001100010…
…1100001011111101001010
31120212220202120120221112000
42300100120230023331022
53041421312313324320
641432140013131430
72360036103245526
oct260203054137512
946786676527460
1012112222011210
11394a845618912
12143751a789b76
1369b240356b09
142dc33dd2cd86
15160100131c90
hexb0418b0bf4a

12112222011210 has 128 divisors (see below), whose sum is σ = 32625620121600. Its totient is φ = 3197302617600.

The previous prime is 12112222011167. The next prime is 12112222011221. The reversal of 12112222011210 is 1211022221121.

12112222011210 is a `hidden beast` number, since 1 + 211 + 22 + 220 + 1 + 1 + 210 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 143916262 + ... + 144000398.

It is an arithmetic number, because the mean of its divisors is an integer number (254887657200).

Almost surely, 212112222011210 is an apocalyptic number.

12112222011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112222011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312810060800).

12112222011210 is an abundant number, since it is smaller than the sum of its proper divisors (20513398110390).

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

12112222011210 is a wasteful number, since it uses less digits than its factorization.

12112222011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89533 (or 89527 counting only the distinct ones).

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

Adding to 12112222011210 its reverse (1211022221121), we get a palindrome (13323244232331).

The spelling of 12112222011210 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-two million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 4545 5279 5454 9090 10558 13635 15837 26395 27270 31674 47511 52790 79185 84137 95022 142533 158370 168274 237555 252411 285066 420685 475110 504822 533179 712665 757233 841370 1066358 1262055 1425330 1514466 1599537 2271699 2524110 2665895 3199074 3786165 4543398 4798611 5331790 7572330 7997685 8497837 9597222 11358495 14395833 15995370 16995674 22716990 23993055 25493511 28791666 42489185 47986110 50987022 71979165 76480533 84978370 127467555 143958330 152961066 229441599 254935110 382402665 444159223 458883198 764805330 888318446 1147207995 1332477669 2220796115 2294415990 2664955338 3997433007 4441592230 6662388345 7994866014 11992299021 13324776690 19987165035 23984598042 39974330070 44860081523 59961495105 89720163046 119922990210 134580244569 224300407615 269160489138 403740733707 448600815230 672901222845 807481467414 1211222201121 1345802445690 2018703668535 2422444402242 4037407337070 6056111005605 12112222011210