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12112011100 = 22527213118869
BaseRepresentation
bin10110100011110111…
…01001111101011100
31011021002212220200201
423101323221331130
5144301133323400
65321510233244
7606101252500
oct132173517534
934232786621
1012112011100
115155a07232
122420355824
1311b0422397
1482c858300
154ad4e906a
hex2d1ee9f5c

12112011100 has 108 divisors (see below), whose sum is σ = 30809199960. Its totient is φ = 4120771200.

The previous prime is 12112011089. The next prime is 12112011137. The reversal of 12112011100 is 111021121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632466 + ... + 651334.

It is an arithmetic number, because the mean of its divisors is an integer number (285270370).

Almost surely, 212112011100 is an apocalyptic number.

12112011100 is a gapful number since it is divisible by the number (10) 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 12112011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404599980).

12112011100 is an abundant number, since it is smaller than the sum of its proper divisors (18697188860).

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

12112011100 is a wasteful number, since it uses less digits than its factorization.

12112011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19028 (or 19014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12112011100 its reverse (111021121), we get a palindrome (12223032221).

The spelling of 12112011100 in words is "twelve billion, one hundred twelve million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 131 140 175 196 245 262 350 490 524 655 700 917 980 1225 1310 1834 2450 2620 3275 3668 4585 4900 6419 6550 9170 12838 13100 18340 18869 22925 25676 32095 37738 45850 64190 75476 91700 94345 128380 132083 160475 188690 264166 320950 377380 471725 528332 641900 660415 924581 943450 1320830 1849162 1886900 2471839 2641660 3302075 3698324 4622905 4943678 6604150 9245810 9887356 12359195 13208300 17302873 18491620 23114525 24718390 34605746 46229050 49436780 61795975 69211492 86514365 92458100 121120111 123591950 173028730 242240222 247183900 346057460 432571825 484480444 605600555 865143650 1211201110 1730287300 2422402220 3028002775 6056005550 12112011100