Base | Representation |
---|---|
bin | 10110101111110101… |
… | …01111010110011100 |
3 | 1011112002211221110200 |
4 | 23113322233112130 |
5 | 200002340344312 |
6 | 5335454503500 |
7 | 611430656550 |
oct | 132772572634 |
9 | 34462757420 |
10 | 12212434332 |
11 | 51a766773a |
12 | 2449b04b90 |
13 | 11c8183707 |
14 | 83bd19860 |
15 | 4b72340dc |
hex | 2d7eaf59c |
12212434332 has 144 divisors (see below), whose sum is σ = 36260200704. Its totient is φ = 3392928000.
The previous prime is 12212434327. The next prime is 12212434337. The reversal of 12212434332 is 23343421221.
12212434332 is a `hidden beast` number, since 1 + 221 + 2 + 4 + 3 + 433 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (12212434327) and next prime (12212434337).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 12212434296 and 12212434305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12212434337) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3418107 + ... + 3421677.
Almost surely, 212212434332 is an apocalyptic number.
12212434332 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 12212434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130100352).
12212434332 is an abundant number, since it is smaller than the sum of its proper divisors (24047766372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12212434332 is a wasteful number, since it uses less digits than its factorization.
12212434332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3960 (or 3955 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
Adding to 12212434332 its reverse (23343421221), we get a palindrome (35555855553).
The spelling of 12212434332 in words is "twelve billion, two hundred twelve million, four hundred thirty-four thousand, three hundred thirty-two".
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