Search a number
-
+
12121113121 = 1310119746861
BaseRepresentation
bin10110100100111100…
…11000001000100001
31011021202000100022121
423102132120020201
5144311001104441
65322433304241
7606241522135
oct132236301041
934252010277
1012121113121
115160063767
122423405081
1311b228b2b0
1482db473c5
154ae1e5dd1
hex2d2798221

12121113121 has 16 divisors (see below), whose sum is σ = 13249949328. Its totient is φ = 11021472000.

The previous prime is 12121113079. The next prime is 12121113133. The reversal of 12121113121 is 12131112121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1525293025 + 10595820096 = 39055^2 + 102936^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121113121 - 29 = 12121112609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121113095 and 12121113104.

It is not an unprimeable number, because it can be changed into a prime (12121113421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235231 + ... + 282091.

It is an arithmetic number, because the mean of its divisors is an integer number (828121833).

Almost surely, 212121113121 is an apocalyptic number.

It is an amenable number.

12121113121 is a deficient number, since it is larger than the sum of its proper divisors (1128836207).

12121113121 is a wasteful number, since it uses less digits than its factorization.

12121113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47172.

The product of its digits is 24, while the sum is 16.

Adding to 12121113121 its reverse (12131112121), we get a palindrome (24252225242).

The spelling of 12121113121 in words is "twelve billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 13 101 197 1313 2561 19897 46861 258661 609193 4732961 9231617 61528493 120011021 932393317 12121113121