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12111212122112 = 2122956838897
BaseRepresentation
bin1011000000111101110001…
…1111110001000000000000
31120212211011012022021010002
42300033130133301000000
53041412230300401422
641431451455455132
72360002061316455
oct260173437610000
946784135267102
1012111212122112
11394a377560224
1214372985274a8
1369b10c0666bc
142dc285b6982c
1516009164a692
hexb03dc7f1000

12111212122112 has 26 divisors (see below), whose sum is σ = 24219467413518. Its totient is φ = 6055606059008.

The previous prime is 12111212122111. The next prime is 12111212122153. The reversal of 12111212122112 is 21122121211121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6823714226176 + 5287497895936 = 2612224^2 + 2299456^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (32) and by the product (4096) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (12111212122111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478415353 + ... + 1478423544.

It is an arithmetic number, because the mean of its divisors is an integer number (931517977443).

Almost surely, 212111212122112 is an apocalyptic number.

It is an amenable number.

12111212122112 is a deficient number, since it is larger than the sum of its proper divisors (12108255291406).

12111212122112 is an frugal number, since it uses more digits than its factorization.

12111212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956838921 (or 2956838899 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 12111212122112 its reverse (21122121211121), we get a palindrome (33233333333233).

The spelling of 12111212122112 in words is "twelve trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 2956838897 5913677794 11827355588 23654711176 47309422352 94618844704 189237689408 378475378816 756950757632 1513901515264 3027803030528 6055606061056 12111212122112