Base | Representation |
---|---|
bin | 101110001111… |
… | …001111001000 |
3 | 211210210221010 |
4 | 232033033020 |
5 | 11100333112 |
6 | 1111443520 |
7 | 205012200 |
oct | 56171710 |
9 | 24723833 |
10 | 12121032 |
11 | 6929790 |
12 | 40865a0 |
13 | 2685111 |
14 | 1877400 |
15 | 10e663c |
hex | b8f3c8 |
12121032 has 96 divisors (see below), whose sum is σ = 38495520. Its totient is φ = 3144960.
The previous prime is 12121009. The next prime is 12121061. The reversal of 12121032 is 23012121.
Added to its reverse (23012121) it gives a triangular number (35133153 = T8382).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an alternating number because its digits alternate between odd and even.
It is a junction number, because it is equal to n+sod(n) for n = 12120999 and 12121017.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12468 + ... + 13404.
It is an arithmetic number, because the mean of its divisors is an integer number (400995).
Almost surely, 212121032 is an apocalyptic number.
12121032 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 12121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247760).
12121032 is an abundant number, since it is smaller than the sum of its proper divisors (26374488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12121032 is a wasteful number, since it uses less digits than its factorization.
12121032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 971 (or 960 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 12121032 is about 3481.5272510782. The cubic root of 12121032 is about 229.7099810195.
Adding to 12121032 its reverse (23012121), we get a palindrome (35133153).
The spelling of 12121032 in words is "twelve million, one hundred twenty-one thousand, thirty-two".
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