Search a number
-
+
12001121130 = 23516311092213
BaseRepresentation
bin10110010110101001…
…01001001101101010
31010222101020010020210
423023110221031222
5144034241334010
65302505401550
7603253563225
oct131324511552
933871203223
1012001121130
1150a9357a29
1223ab1992b6
131193467c0b
1481bc305bc
154a38e2b20
hex2cb52936a

12001121130 has 64 divisors (see below), whose sum is σ = 29018632320. Its totient is φ = 3176361216.

The previous prime is 12001121089. The next prime is 12001121149. The reversal of 12001121130 is 3112110021.

12001121130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5421904 + ... + 5424116.

It is an arithmetic number, because the mean of its divisors is an integer number (453416130).

Almost surely, 212001121130 is an apocalyptic number.

12001121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001121130 is an abundant number, since it is smaller than the sum of its proper divisors (17017511190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12001121130 is a wasteful number, since it uses less digits than its factorization.

12001121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12001121130 its reverse (3112110021), we get a palindrome (15113231151).

It can be divided in two parts, 120011 and 21130, that added together give a palindrome (141141).

The spelling of 12001121130 in words is "twelve billion, one million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 163 326 489 815 978 1109 1630 2213 2218 2445 3327 4426 4890 5545 6639 6654 11065 11090 13278 16635 22130 33195 33270 66390 180767 360719 361534 542301 721438 903835 1082157 1084602 1803595 1807670 2164314 2454217 2711505 3607190 4908434 5410785 5423010 7362651 10821570 12271085 14725302 24542170 36813255 73626510 400037371 800074742 1200112113 2000186855 2400224226 4000373710 6000560565 12001121130