Base | Representation |
---|---|
bin | 11011100010011001100110… |
… | …101110001111100100000100 |
3 | 120212211010012112201022221200 |
4 | 123202121212232033210010 |
5 | 111333241230032223022 |
6 | 1105325420005342500 |
7 | 34336665500504121 |
oct | 3342314656174404 |
9 | 525733175638850 |
10 | 121111211211012 |
11 | 35653a81402a50 |
12 | 117001b7707a30 |
13 | 5276979b106c9 |
14 | 21c9b574a7748 |
15 | e005a94b6bac |
hex | 6e2666b8f904 |
121111211211012 has 144 divisors (see below), whose sum is σ = 343028479614912. Its totient is φ = 35705463517440.
The previous prime is 121111211210993. The next prime is 121111211211017. The reversal of 121111211211012 is 210112112111121.
121111211211012 is a `hidden beast` number, since 121 + 111 + 211 + 211 + 0 + 12 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (121111211211017) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177050398 + ... + 177733130.
It is an arithmetic number, because the mean of its divisors is an integer number (2382142219548).
Almost surely, 2121111211211012 is an apocalyptic number.
121111211211012 is a gapful number since it is divisible by the number (12) 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 121111211211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171514239807456).
121111211211012 is an abundant number, since it is smaller than the sum of its proper divisors (221917268403900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121111211211012 is a wasteful number, since it uses less digits than its factorization.
121111211211012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 694898 (or 694893 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 18.
Adding to 121111211211012 its reverse (210112112111121), we get a palindrome (331223323322133).
The spelling of 121111211211012 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, twelve".
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