Base | Representation |
---|---|
bin | 10110100011110001… |
… | …00110011000010000 |
3 | 1011021001101012210100 |
4 | 23101320212120100 |
5 | 144300432210000 |
6 | 5321441132400 |
7 | 606061405101 |
oct | 132170463020 |
9 | 34231335710 |
10 | 12111210000 |
11 | 515550a36a |
12 | 242002a100 |
13 | 11b0201866 |
14 | 82c6ca3a8 |
15 | 4ad3dba00 |
hex | 2d1e26610 |
12111210000 has 300 divisors, whose sum is σ = 43511331292. Its totient is φ = 3141504000.
The previous prime is 12111209987. The next prime is 12111210011. The reversal of 12111210000 is 1211121.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 10109900304 + 2001309696 = 100548^2 + 44736^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3328182 + ... + 3331818.
Almost surely, 212111210000 is an apocalyptic number.
12111210000 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 12111210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755665646).
12111210000 is an abundant number, since it is smaller than the sum of its proper divisors (31400121292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12111210000 is a wasteful number, since it uses less digits than its factorization.
12111210000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3708 (or 3684 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 12111210000 its reverse (1211121), we get a palindrome (12112421121).
12111210000 divided by its reverse (1211121) gives a 4-th power (10000 = 104).
It can be divided in two parts, 12111 and 210000, that added together give a triangular number (222111 = T666).
The spelling of 12111210000 in words is "twelve billion, one hundred eleven million, two hundred ten thousand".
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