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12112222010100 = 22352262971535311
BaseRepresentation
bin1011000001000001100010…
…1100001011101011110100
31120212220202120120212222220
42300100120230023223310
53041421312313310400
641432140013122340
72360036103242352
oct260203054135364
946786676525886
1012112222010100
11394a845617aa3
12143751a7893b0
1369b240356464
142dc33dd2c7d2
151601001317a0
hexb0418b0baf4

12112222010100 has 72 divisors (see below), whose sum is σ = 35046051159168. Its totient is φ = 3229800940800.

The previous prime is 12112222010093. The next prime is 12112222010117. The reversal of 12112222010100 is 101022221121.

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 12112222010100.

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 23 ways as a sum of consecutive naturals, for example, 7121445 + ... + 8656755.

It is an arithmetic number, because the mean of its divisors is an integer number (486750710544).

Almost surely, 212112222010100 is an apocalyptic number.

12112222010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112222010100 is an abundant number, since it is smaller than the sum of its proper divisors (22933829149068).

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

12112222010100 is a wasteful number, since it uses less digits than its factorization.

12112222010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561625 (or 1561618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12112222010100 its reverse (101022221121), we get a palindrome (12213244231221).

The spelling of 12112222010100 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 26297 52594 78891 105188 131485 157782 262970 315564 394455 525940 657425 788910 1314850 1535311 1577820 1972275 2629700 3070622 3944550 4605933 6141244 7676555 7889100 9211866 15353110 18423732 23029665 30706220 38382775 46059330 76765550 92118660 115148325 153531100 230296650 460593300 40374073367 80748146734 121122220101 161496293468 201870366835 242244440202 403740733670 484488880404 605611100505 807481467340 1009351834175 1211222201010 2018703668350 2422444402020 3028055502525 4037407336700 6056111005050 12112222010100