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12115412200 = 235260577061
BaseRepresentation
bin10110100100010001…
…01000010011101000
31011021100021201010101
423102020220103220
5144303021142300
65322111155144
7606142206313
oct132210502350
934240251111
1012115412200
11515791a561
122421515ab4
1311b1043478
1482d0a197a
154ad96bb6a
hex2d22284e8

12115412200 has 24 divisors (see below), whose sum is σ = 28168333830. Its totient is φ = 4846164800.

The previous prime is 12115412191. The next prime is 12115412209. The reversal of 12115412200 is 221451121.

It is an interprime number because it is at equal distance from previous prime (12115412191) and next prime (12115412209).

It can be written as a sum of positive squares in 3 ways, for example, as 9184922244 + 2930489956 = 95838^2 + 54134^2 .

It is not an unprimeable number, because it can be changed into a prime (12115412209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30288331 + ... + 30288730.

Almost surely, 212115412200 is an apocalyptic number.

12115412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12115412200 is an abundant number, since it is smaller than the sum of its proper divisors (16052921630).

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

12115412200 is a wasteful number, since it uses less digits than its factorization.

12115412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60577077 (or 60577068 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 12115412200 its reverse (221451121), we get a palindrome (12336863321).

The spelling of 12115412200 in words is "twelve billion, one hundred fifteen million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 60577061 121154122 242308244 302885305 484616488 605770610 1211541220 1514426525 2423082440 3028853050 6057706100 12115412200