Search a number
-
+
12211111212101 = 232272338845281
BaseRepresentation
bin1011000110110001111011…
…1100100011010001000101
31121020101000100001211211222
42301230132330203101011
53100031323432241401
641545412420010125
72400136501502624
oct261543674432105
947211010054758
1012211111212101
113988780a3311a
121452718530945
136a766c9a4379
1430304163d6bb
1516298baa0c1b
hexb1b1ef23445

12211111212101 has 8 divisors (see below), whose sum is σ = 12798161383104. Its totient is φ = 11628738732160.

The previous prime is 12211111212071. The next prime is 12211111212107. The reversal of 12211111212101 is 10121211111221.

12211111212101 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 not a de Polignac number, because 12211111212101 - 230 = 12210037470277 is a prime.

It is a super-2 number, since 2×122111112121012 (a number of 27 digits) contains 22 as substring.

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 12211111212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211111212107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1169417420 + ... + 1169427861.

It is an arithmetic number, because the mean of its divisors is an integer number (1599770172888).

Almost surely, 212211111212101 is an apocalyptic number.

It is an amenable number.

12211111212101 is a deficient number, since it is larger than the sum of its proper divisors (587050171003).

12211111212101 is a wasteful number, since it uses less digits than its factorization.

12211111212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338845531.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 12211111212101 its reverse (10121211111221), we get a palindrome (22332322323322).

The spelling of 12211111212101 in words is "twelve trillion, two hundred eleven billion, one hundred eleven million, two hundred twelve thousand, one hundred one".

Divisors: 1 23 227 5221 2338845281 53793441463 530917878787 12211111212101