Search a number
-
+
12102212112 = 2431671509757
BaseRepresentation
bin10110100010101100…
…10001101000010000
31011020102110002000020
423101112101220100
5144241131241422
65320520223440
7605622051144
oct132126215020
934212402006
1012102212112
1151504240a1
12241900ab80
1311ab3a1173
1482b427224
154ac71095c
hex2d1591a10

12102212112 has 40 divisors (see below), whose sum is σ = 31451278656. Its totient is φ = 4009911936.

The previous prime is 12102212063. The next prime is 12102212119. The reversal of 12102212112 is 21121220121.

It is a junction number, because it is equal to n+sod(n) for n = 12102212091 and 12102212100.

It is not an unprimeable number, because it can be changed into a prime (12102212119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 746863 + ... + 762894.

Almost surely, 212102212112 is an apocalyptic number.

12102212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102212112 is an abundant number, since it is smaller than the sum of its proper divisors (19349066544).

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

12102212112 is a wasteful number, since it uses less digits than its factorization.

12102212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509935 (or 1509929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102212112 its reverse (21121220121), we get a palindrome (33223432233).

The spelling of 12102212112 in words is "twelve billion, one hundred two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 1509757 3019514 4529271 6039028 9058542 12078056 18117084 24156112 36234168 72468336 252129419 504258838 756388257 1008517676 1512776514 2017035352 3025553028 4034070704 6051106056 12102212112