| Base | Representation |
|---|---|
| bin | 1011000001000001001000… |
| … | …1000111101000111100100 |
| 3 | 1120212220110220210111021121 |
| 4 | 2300100102020331013210 |
| 5 | 3041421101200041400 |
| 6 | 41432121045423324 |
| 7 | 2360033300154130 |
| oct | 260202210750744 |
| 9 | 46786426714247 |
| 10 | 12112112112100 |
| 11 | 394a799586000 |
| 12 | 14374a9a0ab44 |
| 13 | 69b223658660 |
| 14 | 2dc32d4c23c0 |
| 15 | 1600e567421a |
| hex | b041223d1e4 |
12112112112100 has 576 divisors, whose sum is σ = 35937008884224. Its totient is φ = 3449952000000.
The previous prime is 12112112112091. The next prime is 12112112112101. The reversal of 12112112112100 is 121121121121.
It is not an unprimeable number, because it can be changed into a prime (12112112112101) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 1223317150 + ... + 1223327050.
It is an arithmetic number, because the mean of its divisors is an integer number (62390640424).
Almost surely, 212112112112100 is an apocalyptic number.
12112112112100 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 12112112112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968504442112).
12112112112100 is an abundant number, since it is smaller than the sum of its proper divisors (23824896772124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12112112112100 is a wasteful number, since it uses less digits than its factorization.
12112112112100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10069 (or 10040 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 16.
Adding to 12112112112100 its reverse (121121121121), we get a palindrome (12233233233221).
12112112112100 divided by its reverse (121121121121) gives a square (100 = 102).
It can be divided in two parts, 121121 and 12112100, that multiplied together give a square (1467029664100 = 12112102).
The spelling of 12112112112100 in words is "twelve trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred".
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