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12210201211121 = 2312787715833011
BaseRepresentation
bin1011000110101110100010…
…1101001011000011110001
31121020021122220202000011222
42301223220231023003301
53100022443002223441
641545142231314425
72400105111561554
oct261535055130361
947207586660158
1012210201211121
11398835429a9a1
12145250381ba15
136a75562b8854
14302d9683c69b
15162936c4ad4b
hexb1ae8b4b0f1

12210201211121 has 32 divisors (see below), whose sum is σ = 12868439113728. Its totient is φ = 11562994175040.

The previous prime is 12210201211027. The next prime is 12210201211129. The reversal of 12210201211121 is 12111210201221.

12210201211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210201211121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12210201211121.

It is not an unprimeable number, because it can be changed into a prime (12210201211129) 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, 4055196506 + ... + 4055199516.

It is an arithmetic number, because the mean of its divisors is an integer number (402138722304).

Almost surely, 212210201211121 is an apocalyptic number.

It is an amenable number.

12210201211121 is a deficient number, since it is larger than the sum of its proper divisors (658237902607).

12210201211121 is a wasteful number, since it uses less digits than its factorization.

12210201211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12210201211121 its reverse (12111210201221), we get a palindrome (24321411412342).

The spelling of 12210201211121 in words is "twelve trillion, two hundred ten billion, two hundred one million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 23 127 877 1583 2921 3011 20171 36409 69253 111379 201041 382397 1388291 2561717 2640647 4623943 4766413 8795131 31930693 60734881 109627499 176312957 335362169 605334451 4055198011 4180144201 7713329887 13922692373 96143316623 530878313527 12210201211121