Search a number
-
+
12111011122212 = 2232336416975617
BaseRepresentation
bin1011000000111101000010…
…0001000000110000100100
31120212210122012002102002100
42300033100201000300210
53041411322321402322
641431415515412100
72356664100666102
oct260172041006044
946783565072070
1012111011122212
11394a284055002
121437241154030
1369b0a951c252
142dc2671a6c72
1516007db94dac
hexb03d0840c24

12111011122212 has 18 divisors (see below), whose sum is σ = 30613944781238. Its totient is φ = 4037003707392.

The previous prime is 12111011122207. The next prime is 12111011122253. The reversal of 12111011122212 is 21222111011121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10161150774336 + 1949860347876 = 3187656^2 + 1396374^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168208487773 + ... + 168208487844.

Almost surely, 212111011122212 is an apocalyptic number.

12111011122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12111011122212 is an abundant number, since it is smaller than the sum of its proper divisors (18502933659026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111011122212 is a wasteful number, since it uses less digits than its factorization.

12111011122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336416975627 (or 336416975622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12111011122212 its reverse (21222111011121), we get a palindrome (33333122133333).

The spelling of 12111011122212 in words is "twelve trillion, one hundred eleven billion, eleven million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 336416975617 672833951234 1009250926851 1345667902468 2018501853702 3027752780553 4037003707404 6055505561106 12111011122212