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12211112120 = 235305277803
BaseRepresentation
bin10110101111101011…
…01100100010111000
31011112000100202201212
423113311230202320
5200002021041440
65335410302252
7611413511654
oct132765544270
934460322655
1012211112120
1151a69442a9
122449587988
1311c7b0c93c
1483ba93a64
154b7072465
hex2d7d6c8b8

12211112120 has 16 divisors (see below), whose sum is σ = 27475002360. Its totient is φ = 4884444832.

The previous prime is 12211112027. The next prime is 12211112129. The reversal of 12211112120 is 2121111221.

It is a super-2 number, since 2×122111121202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211112095 and 12211112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152638862 + ... + 152638941.

Almost surely, 212211112120 is an apocalyptic number.

12211112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211112120 is an abundant number, since it is smaller than the sum of its proper divisors (15263890240).

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

12211112120 is a wasteful number, since it uses less digits than its factorization.

12211112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305277814 (or 305277810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211112120 its reverse (2121111221), we get a palindrome (14332223341).

The spelling of 12211112120 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 305277803 610555606 1221111212 1526389015 2442222424 3052778030 6105556060 12211112120