Base | Representation |
---|---|
bin | 10110100101000100… |
… | …01001011001010100 |
3 | 1011021210212112220000 |
4 | 23102202021121110 |
5 | 144311224220312 |
6 | 5322510411300 |
7 | 606253106205 |
oct | 132242113124 |
9 | 34253775800 |
10 | 12122101332 |
11 | 5160679170 |
12 | 2423800b30 |
13 | 11b2546033 |
14 | 82dd235ac |
15 | 4ae33dadc |
hex | 2d2889654 |
12122101332 has 120 divisors (see below), whose sum is σ = 36073743552. Its totient is φ = 3513628800.
The previous prime is 12122101331. The next prime is 12122101333. The reversal of 12122101332 is 23310122121.
12122101332 is a `hidden beast` number, since 121 + 2 + 210 + 1 + 332 = 666.
It is an interprime number because it is at equal distance from previous prime (12122101331) and next prime (12122101333).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12122101331) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8032 + ... + 155912.
Almost surely, 212122101332 is an apocalyptic number.
12122101332 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 12122101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036871776).
12122101332 is an abundant number, since it is smaller than the sum of its proper divisors (23951642220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12122101332 is a wasteful number, since it uses less digits than its factorization.
12122101332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 147931 (or 147920 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 12122101332 its reverse (23310122121), we get a palindrome (35432223453).
The spelling of 12122101332 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, three hundred thirty-two".
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