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12112120000200 = 233521137101491081
BaseRepresentation
bin1011000001000001001010…
…0111000010111011001000
31120212220111110122020201110
42300100102213002323020
53041421110210001300
641432121530450320
72360033424206403
oct260202247027310
946786443566643
1012112120000200
11394a7a2a834a0
1214374b05939a0
1369b22518ab7c
142dc330576d3a
151600e61d1550
hexb04129c2ec8

12112120000200 has 384 divisors, whose sum is σ = 42484643130240. Its totient is φ = 2828620800000.

The previous prime is 12112120000199. The next prime is 12112120000213. The reversal of 12112120000200 is 200002121121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 24418660 + ... + 24909740.

It is an arithmetic number, because the mean of its divisors is an integer number (110637091485).

Almost surely, 212112120000200 is an apocalyptic number.

12112120000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21242321565120).

12112120000200 is an abundant number, since it is smaller than the sum of its proper divisors (30372523130040).

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

12112120000200 is a wasteful number, since it uses less digits than its factorization.

12112120000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491249 (or 491240 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12112120000200 its reverse (200002121121), we get a palindrome (12312122121321).

The spelling of 12112120000200 in words is "twelve trillion, one hundred twelve billion, one hundred twenty million, two hundred", and thus it is an aban number.