Search a number
-
+
12123305441 = 1315116337889
BaseRepresentation
bin10110100101001101…
…01111010111100001
31011021220010201121122
423102212233113201
5144312031233231
65322552302025
7606266252552
oct132246572741
934256121548
1012123305441
1151613208a5
1224240a1915
1311b2878120
14830158329
154ae4ca77b
hex2d29af5e1

12123305441 has 16 divisors (see below), whose sum is σ = 13223306880. Its totient is φ = 11048140800.

The previous prime is 12123305431. The next prime is 12123305449. The reversal of 12123305441 is 14450332121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12123305441 - 230 = 11049563617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12123305441.

It is not an unprimeable number, because it can be changed into a prime (12123305449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301025 + ... + 338913.

It is an arithmetic number, because the mean of its divisors is an integer number (826456680).

Almost surely, 212123305441 is an apocalyptic number.

It is an amenable number.

12123305441 is a deficient number, since it is larger than the sum of its proper divisors (1100001439).

12123305441 is a wasteful number, since it uses less digits than its factorization.

12123305441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38216.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 12123305441 its reverse (14450332121), we get a palindrome (26573637562).

The spelling of 12123305441 in words is "twelve billion, one hundred twenty-three million, three hundred five thousand, four hundred forty-one".

Divisors: 1 13 151 163 1963 2119 24613 37889 319969 492557 5721239 6175907 74376107 80286791 932561957 12123305441