Search a number
-
+
12201200121 = 3112817011877
BaseRepresentation
bin10110101110011111…
…11000100111111001
31011111022201012000210
423113033320213321
5144442001400441
65334414021333
7611233330005
oct132717704771
934438635023
1012201200121
1151a1294270
1224461a7849
1311c5a4c156
1483a633705
154b6265616
hex2d73f89f9

12201200121 has 32 divisors (see below), whose sum is σ = 17845266816. Its totient is φ = 7353920000.

The previous prime is 12201200111. The next prime is 12201200147. The reversal of 12201200121 is 12100210221.

It is a cyclic number.

It is not a de Polignac number, because 12201200121 - 210 = 12201199097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201200097 and 12201200106.

It is not an unprimeable number, because it can be changed into a prime (12201200111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6499435 + ... + 6501311.

It is an arithmetic number, because the mean of its divisors is an integer number (557664588).

Almost surely, 212201200121 is an apocalyptic number.

12201200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201200121 is a deficient number, since it is larger than the sum of its proper divisors (5644066695).

12201200121 is a wasteful number, since it uses less digits than its factorization.

12201200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201200121 its reverse (12100210221), we get a palindrome (24301410342).

The spelling of 12201200121 in words is "twelve billion, two hundred one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 11 33 281 701 843 1877 2103 3091 5631 7711 9273 20647 23133 61941 196981 527437 590943 1315777 1582311 2166791 3947331 5801807 6500373 14473547 17405421 43420641 369733337 1109200011 4067066707 12201200121