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12112102021110 = 2357134729938183
BaseRepresentation
bin1011000001000001000110…
…0010011101011111110110
31120212220110012210211001020
42300100101202131133312
53041421041104133420
641432120045242010
72360033115325260
oct260202142353766
946786405724036
1012112102021110
11394a793913543
1214374a6563306
1369b221534560
142dc32c016b30
151600e482e340
hexb041189d7f6

12112102021110 has 128 divisors (see below), whose sum is σ = 35784889620480. Its totient is φ = 2554977309696.

The previous prime is 12112102021043. The next prime is 12112102021111. The reversal of 12112102021110 is 1112020121121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112102021110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112102021111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12441079 + ... + 13379261.

It is an arithmetic number, because the mean of its divisors is an integer number (279569450160).

Almost surely, 212112102021110 is an apocalyptic number.

12112102021110 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 12112102021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892444810240).

12112102021110 is an abundant number, since it is smaller than the sum of its proper divisors (23672787599370).

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

12112102021110 is a wasteful number, since it uses less digits than its factorization.

12112102021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942942.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12112102021110 its reverse (1112020121121), we get a palindrome (13224122142231).

The spelling of 12112102021110 in words is "twelve trillion, one hundred twelve billion, one hundred two million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 4729 9458 14187 23645 28374 33103 47290 61477 66206 70935 99309 122954 141870 165515 184431 198618 307385 331030 368862 430339 496545 614770 860678 922155 938183 993090 1291017 1844310 1876366 2151695 2582034 2814549 4303390 4690915 5629098 6455085 6567281 9381830 12196379 12910170 13134562 14072745 19701843 24392758 28145490 32836405 36589137 39403686 60981895 65672810 73178274 85374653 98509215 121963790 170749306 182945685 197018430 256123959 365891370 426873265 512247918 853746530 1280619795 2561239590 4436667407 8873334814 13310002221 22183337035 26620004442 31056671849 44366674070 57676676291 62113343698 66550011105 93170015547 115353352582 133100022210 155283359245 173030028873 186340031094 288383381455 310566718490 346060057746 403736734037 465850077735 576766762910 807473468074 865150144365 931700155470 1211210202111 1730300288730 2018683670185 2422420404222 4037367340370 6056051010555 12112102021110