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12112213200 = 2435210093511
BaseRepresentation
bin10110100011111000…
…11011010011010000
31011021010021011220220
423101330123103100
5144301211310300
65321514433040
7606103053633
oct132174332320
934233234826
1012112213200
11515603505a
122420432780
1311b0493379
1482c8abc1a
154ad538da0
hex2d1f1b4d0

12112213200 has 60 divisors (see below), whose sum is σ = 38799460128. Its totient is φ = 3229923200.

The previous prime is 12112213199. The next prime is 12112213213. The reversal of 12112213200 is 231221121.

12112213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112213200.

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 11 ways as a sum of consecutive naturals, for example, 5045556 + ... + 5047955.

Almost surely, 212112213200 is an apocalyptic number.

12112213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112213200 is an abundant number, since it is smaller than the sum of its proper divisors (26687246928).

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

12112213200 is a wasteful number, since it uses less digits than its factorization.

12112213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10093532 (or 10093521 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12112213200 its reverse (231221121), we get a palindrome (12343434321).

The spelling of 12112213200 in words is "twelve billion, one hundred twelve million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10093511 20187022 30280533 40374044 50467555 60561066 80748088 100935110 121122132 151402665 161496176 201870220 242244264 252337775 302805330 403740440 484488528 504675550 605610660 757013325 807480880 1009351100 1211221320 1514026650 2018702200 2422442640 3028053300 4037404400 6056106600 12112213200