Search a number
-
+
12123012121 = 118313278217
BaseRepresentation
bin10110100101001011…
…00111110000011001
31011021212120211020221
423102211213300121
5144311442341441
65322542120041
7606263621443
oct132245476031
934255524227
1012123012121
115161140490
122423b80021
1311b27a476c
148300bd493
154ae46d8d1
hex2d2967c19

12123012121 has 8 divisors (see below), whose sum is σ = 13384443744. Its totient is φ = 10888137120.

The previous prime is 12123012119. The next prime is 12123012127. The reversal of 12123012121 is 12121032121.

12123012121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12123012121 - 21 = 12123012119 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12123012095 and 12123012104.

It is not an unprimeable number, because it can be changed into a prime (12123012127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6638196 + ... + 6640021.

It is an arithmetic number, because the mean of its divisors is an integer number (1673055468).

Almost surely, 212123012121 is an apocalyptic number.

12123012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123012121 is a deficient number, since it is larger than the sum of its proper divisors (1261431623).

12123012121 is a wasteful number, since it uses less digits than its factorization.

12123012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13278311.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12123012121 its reverse (12121032121), we get a palindrome (24244044242).

The spelling of 12123012121 in words is "twelve billion, one hundred twenty-three million, twelve thousand, one hundred twenty-one".

Divisors: 1 11 83 913 13278217 146060387 1102092011 12123012121