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12011210201 = 1091493172333
BaseRepresentation
bin10110010111110110…
…01000010111011001
31011000002012200212002
423023323020113121
5144044332211301
65303505530345
7603435413354
oct131373102731
934002180762
1012011210201
115104019001
1223b26439b5
13119558b193
1481d2d929b
154a473716b
hex2cbec85d9

12011210201 has 16 divisors (see below), whose sum is σ = 12246498000. Its totient is φ = 11778801408.

The previous prime is 12011210153. The next prime is 12011210203. The reversal of 12011210201 is 10201211021.

It can be written as a sum of positive squares in 8 ways, for example, as 2466115600 + 9545094601 = 49660^2 + 97699^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011210201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011210203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5147231 + ... + 5149563.

It is an arithmetic number, because the mean of its divisors is an integer number (765406125).

Almost surely, 212011210201 is an apocalyptic number.

It is an amenable number.

12011210201 is a deficient number, since it is larger than the sum of its proper divisors (235287799).

12011210201 is a wasteful number, since it uses less digits than its factorization.

12011210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908.

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

Adding to 12011210201 its reverse (10201211021), we get a palindrome (22212421222).

The spelling of 12011210201 in words is "twelve billion, eleven million, two hundred ten thousand, two hundred one".

Divisors: 1 109 149 317 2333 16241 34553 47233 254297 347617 739561 5148397 37890253 80612149 110194589 12011210201