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12112212201012 = 22327118111538711
BaseRepresentation
bin1011000001000001100000…
…0110110000111000110100
31120212220201220010112110100
42300100120012300320310
53041421302310413022
641432135022554100
72360035623666420
oct260203006607064
946786656115410
1012112212201012
11394a840028310
121437517438930
1369b23b300771
142dc33c8d7b80
151600ee3451ac
hexb04181b0e34

12112212201012 has 144 divisors (see below), whose sum is σ = 38176597315584. Its totient is φ = 3145635432000.

The previous prime is 12112212201007. The next prime is 12112212201079. The reversal of 12112212201012 is 21010221221121.

12112212201012 is a `hidden beast` number, since 1 + 211 + 221 + 220 + 1 + 0 + 12 = 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, 22214337 + ... + 22753047.

It is an arithmetic number, because the mean of its divisors is an integer number (265115259136).

Almost surely, 212112212201012 is an apocalyptic number.

12112212201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112212201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19088298657792).

12112212201012 is an abundant number, since it is smaller than the sum of its proper divisors (26064385114572).

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

12112212201012 is a wasteful number, since it uses less digits than its factorization.

12112212201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546850 (or 546845 counting only the distinct ones).

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

Adding to 12112212201012 its reverse (21010221221121), we get a palindrome (33122433422133).

The spelling of 12112212201012 in words is "twelve trillion, one hundred twelve billion, two hundred twelve million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 8111 16222 24333 32444 48666 56777 72999 89221 97332 113554 145998 170331 178442 227108 267663 291996 340662 356884 510993 535326 538711 624547 681324 802989 1021986 1070652 1077422 1249094 1605978 1616133 1873641 2043972 2154844 2498188 3211956 3232266 3747282 3770977 4848399 5620923 5925821 6464532 7494564 7541954 9696798 11241846 11312931 11851642 15083908 17777463 19393596 22483692 22625862 23703284 33938793 35554926 41480747 45251724 53332389 67877586 71109852 82961494 106664778 124442241 135755172 165922988 213329556 248884482 373326723 497768964 746653446 1493306892 4369484921 8738969842 13108454763 17477939684 26216909526 30586394447 39325364289 48064334131 52433819052 61172788894 78650728578 91759183341 96128668262 122345577788 144193002393 157301457156 183518366682 192257336524 275277550023 288386004786 336450338917 367036733364 432579007179 550555100046 576772009572 672900677834 865158014358 1009351016751 1101110200092 1345801355668 1730316028716 2018702033502 3028053050253 4037404067004 6056106100506 12112212201012