Search a number
-
+
12111121121011 = 112359278807549
BaseRepresentation
bin1011000000111101011100…
…0100100111111011110011
31120212210220212001221001221
42300033113010213323303
53041412034001333021
641431434445205511
72356666604654233
oct260172704477363
946783825057057
1012111121121011
11394a330155800
121437271b60897
1369b0c6253bb3
142dc277a3bcc3
15160088672241
hexb03d7127ef3

12111121121011 has 12 divisors (see below), whose sum is σ = 13349305494000. Its totient is φ = 10979441240240.

The previous prime is 12111121120957. The next prime is 12111121121023. The reversal of 12111121121011 is 11012112111121.

It is not a de Polignac number, because 12111121121011 - 211 = 12111121118963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12111121121611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139360336 + ... + 139447213.

It is an arithmetic number, because the mean of its divisors is an integer number (1112442124500).

Almost surely, 212111121121011 is an apocalyptic number.

12111121121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12111121121011 is a deficient number, since it is larger than the sum of its proper divisors (1238184372989).

12111121121011 is a wasteful number, since it uses less digits than its factorization.

12111121121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278807930 (or 278807919 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 12111121121011 its reverse (11012112111121), we get a palindrome (23123233232132).

The spelling of 12111121121011 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, eleven".

Divisors: 1 11 121 359 3949 43439 278807549 3066883039 33735713429 100091910091 1101011011001 12111121121011