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12112120122102 = 23271113672223339
BaseRepresentation
bin1011000001000001001010…
…0111100000101011110110
31120212220111110212102221100
42300100102213200223312
53041421110222401402
641432121533230530
72360033425224660
oct260202247405366
946786443772840
1012112120122102
11394a7a3057040
1214374b0632446
1369b2252014c0
142dc3305a9530
151600e620771c
hexb04129e0af6

12112120122102 has 96 divisors (see below), whose sum is σ = 35235258589440. Its totient is φ = 2904004820160.

The previous prime is 12112120122083. The next prime is 12112120122121. The reversal of 12112120122102 is 20122102121121.

12112120122102 is a `hidden beast` number, since 121 + 121 + 201 + 221 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12112120122083) and next prime (12112120122121).

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 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, 336093652 + ... + 336129687.

It is an arithmetic number, because the mean of its divisors is an integer number (367033943640).

Almost surely, 212112120122102 is an apocalyptic number.

12112120122102 is an abundant number, since it is smaller than the sum of its proper divisors (23123138467338).

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

12112120122102 is a wasteful number, since it uses less digits than its factorization.

12112120122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672223378 (or 672223375 counting only the distinct ones).

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

Adding to 12112120122102 its reverse (20122102121121), we get a palindrome (32234222243223).

The spelling of 12112120122102 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 672223339 1344446678 2016670017 4033340034 4705563373 6050010051 7394456729 8738903407 9411126746 12100020102 14116690119 14788913458 17477806814 22183370187 26216710221 28233380238 42350070357 44366740374 51761197103 52433420442 61172323849 66550110561 78650130663 84700140714 96127937477 103522394206 122344647698 133100221122 155283591309 157300261326 183516971547 192255874954 288383812431 310567182618 367033943094 465850773927 550550914641 576767624862 672895562339 865151437293 931701547854 1101101829282 1345791124678 1730302874586 2018686687017 4037373374034 6056060061051 12112120122102