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12112121111100 = 2235240373737037
BaseRepresentation
bin1011000001000001001010…
…1011010010001000111100
31120212220111112201200120220
42300100102223102020330
53041421111001023400
641432122010341340
72360033436514233
oct260202253221074
946786445650526
1012112121111100
11394a7a367209a
1214374b0a2a850
1369b2254896ca
142dc330785b1a
151600e63507a0
hexb0412ad223c

12112121111100 has 36 divisors (see below), whose sum is σ = 35044403748984. Its totient is φ = 3229898962880.

The previous prime is 12112121111093. The next prime is 12112121111213. The reversal of 12112121111100 is 111112121121.

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 12112121111100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20186868219 + ... + 20186868818.

It is an arithmetic number, because the mean of its divisors is an integer number (973455659694).

Almost surely, 212112121111100 is an apocalyptic number.

12112121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112121111100 is an abundant number, since it is smaller than the sum of its proper divisors (22932282637884).

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

12112121111100 is a wasteful number, since it uses less digits than its factorization.

12112121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40373737054 (or 40373737047 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12112121111100 its reverse (111112121121), we get a palindrome (12223233232221).

The spelling of 12112121111100 in words is "twelve trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40373737037 80747474074 121121211111 161494948148 201868685185 242242422222 403737370370 484484844444 605606055555 807474740740 1009343425925 1211212111110 2018686851850 2422424222220 3028030277775 4037373703700 6056060555550 12112121111100