Search a number
-
+
12200012111 = 724167233389
BaseRepresentation
bin10110101110010110…
…10110100101001111
31011111020110211101102
423113023112211033
5144441200341421
65334332333315
7611220251300
oct132713264517
934436424342
1012200012111
1151a0652741
12244591423b
1311c57244a1
1483a4047a7
154b60cd60b
hex2d72d694f

12200012111 has 48 divisors (see below), whose sum is σ = 14856397920. Its totient is φ = 9980974080.

The previous prime is 12200012063. The next prime is 12200012129. The reversal of 12200012111 is 11121000221.

It is not a de Polignac number, because 12200012111 - 26 = 12200012047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200012092 and 12200012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200012131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31362305 + ... + 31362693.

It is an arithmetic number, because the mean of its divisors is an integer number (309508290).

Almost surely, 212200012111 is an apocalyptic number.

12200012111 is a deficient number, since it is larger than the sum of its proper divisors (2656385809).

12200012111 is a wasteful number, since it uses less digits than its factorization.

12200012111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12200012111 its reverse (11121000221), we get a palindrome (23321012332).

The spelling of 12200012111 in words is "twelve billion, two hundred million, twelve thousand, one hundred eleven".

Divisors: 1 7 41 49 67 233 287 389 469 1631 2009 2723 2747 3283 9553 11417 15611 15949 19061 19229 26063 66871 90637 109277 111643 134603 182441 468097 634459 640051 764939 781501 1068583 1277087 3716117 4441213 4480357 6072679 7480081 26012819 31362499 42508753 52360567 182089733 248979839 297561271 1742858873 12200012111