Search a number
-
+
12111022101211 = 1110513301317351
BaseRepresentation
bin1011000000111101000100…
…1010111001001011011011
31120212210122221202012102221
42300033101022321023123
53041411333124214321
641431420551004511
72356664263213615
oct260172112711333
946783587665387
1012111022101211
11394a28a273760
121437244969737
1369b0ab8945b7
142dc268823db5
1516007eb12e41
hexb03d12b92db

12111022101211 has 16 divisors (see below), whose sum is σ = 13228642941696. Its totient is φ = 10996177500000.

The previous prime is 12111022101197. The next prime is 12111022101253. The reversal of 12111022101211 is 11210122011121.

12111022101211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12111022101211 - 239 = 11561266287323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12111022101271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38004186 + ... + 38321536.

It is an arithmetic number, because the mean of its divisors is an integer number (826790183856).

Almost surely, 212111022101211 is an apocalyptic number.

12111022101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12111022101211 is a deficient number, since it is larger than the sum of its proper divisors (1117620840485).

12111022101211 is a wasteful number, since it uses less digits than its factorization.

12111022101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321714.

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

Adding to 12111022101211 its reverse (11210122011121), we get a palindrome (23321144112332).

The spelling of 12111022101211 in words is "twelve trillion, one hundred eleven billion, twenty-two million, one hundred one thousand, two hundred eleven".

Divisors: 1 11 1051 3301 11561 36311 317351 3469351 3490861 38162861 333535901 1047575651 3668894911 11523332161 1101002009201 12111022101211