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12123221201 = 713133222211
BaseRepresentation
bin10110100101001100…
…11010110011010001
31011021212222110001122
423102212122303101
5144312021034301
65322550412025
7606265452140
oct132246326321
934255873048
1012123221201
115161273583
122424061015
1311b2848990
14830135757
154ae4b081b
hex2d299acd1

12123221201 has 8 divisors (see below), whose sum is σ = 14920887744. Its totient is φ = 9591999120.

The previous prime is 12123221167. The next prime is 12123221221. The reversal of 12123221201 is 10212232121.

12123221201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123221201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12123221201.

It is not an unprimeable number, because it can be changed into a prime (12123221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66611015 + ... + 66611196.

It is an arithmetic number, because the mean of its divisors is an integer number (1865110968).

Almost surely, 212123221201 is an apocalyptic number.

It is an amenable number.

12123221201 is a deficient number, since it is larger than the sum of its proper divisors (2797666543).

12123221201 is a wasteful number, since it uses less digits than its factorization.

12123221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133222231.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12123221201 its reverse (10212232121), we get a palindrome (22335453322).

The spelling of 12123221201 in words is "twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 7 13 91 133222211 932555477 1731888743 12123221201