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12121311200 = 255215151639
BaseRepresentation
bin10110100100111110…
…01000011111100000
31011021202101102000212
423102133020133200
5144311023424300
65322441433252
7606243305465
oct132237103740
934252342025
1012121311200
115160189569
12242349b828
1311b232a4bb
1482db9966c
154ae234935
hex2d27c87e0

12121311200 has 36 divisors (see below), whose sum is σ = 29591152920. Its totient is φ = 4848524160.

The previous prime is 12121311179. The next prime is 12121311263. The reversal of 12121311200 is 211312121.

12121311200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7575020 + ... + 7576619.

It is an arithmetic number, because the mean of its divisors is an integer number (821976470).

Almost surely, 212121311200 is an apocalyptic number.

12121311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121311200 is an abundant number, since it is smaller than the sum of its proper divisors (17469841720).

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

12121311200 is a wasteful number, since it uses less digits than its factorization.

12121311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15151659 (or 15151646 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12121311200 its reverse (211312121), we get a palindrome (12332623321).

The spelling of 12121311200 in words is "twelve billion, one hundred twenty-one million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15151639 30303278 60606556 75758195 121213112 151516390 242426224 303032780 378790975 484852448 606065560 757581950 1212131120 1515163900 2424262240 3030327800 6060655600 12121311200