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12012233201 = 174657151729
BaseRepresentation
bin10110010111111110…
…00010000111110001
31011000011010200010222
423023333002013301
5144100112430301
65303543502425
7603450204023
oct131377020761
934004120128
1012012233201
115104657661
1223b2a57a15
1311958589c7
1481d4c4013
154a488a31b
hex2cbfc21f1

12012233201 has 8 divisors (see below), whose sum is σ = 12721650120. Its totient is φ = 11303129088.

The previous prime is 12012233179. The next prime is 12012233267. The reversal of 12012233201 is 10233221021.

It can be written as a sum of positive squares in 4 ways, for example, as 744198400 + 11268034801 = 27280^2 + 106151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12012233201 - 226 = 11945124337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12012233201.

It is not an unprimeable number, because it can be changed into a prime (12012233501) 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 7 ways as a sum of consecutive naturals, for example, 3305 + ... + 155033.

It is an arithmetic number, because the mean of its divisors is an integer number (1590206265).

Almost surely, 212012233201 is an apocalyptic number.

It is an amenable number.

12012233201 is a deficient number, since it is larger than the sum of its proper divisors (709416919).

12012233201 is a wasteful number, since it uses less digits than its factorization.

12012233201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156403.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12012233201 its reverse (10233221021), we get a palindrome (22245454222).

The spelling of 12012233201 in words is "twelve billion, twelve million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 17 4657 79169 151729 2579393 706601953 12012233201