Search a number
-
+
12112133320200 = 233521737145921997
BaseRepresentation
bin1011000001000001001101…
…1001110110111000001000
31120212220112101200222022210
42300100103121312320020
53041421122112221300
641432123124145120
72360033645344254
oct260202331667010
946786471628283
1012112133320200
11394a7aa550a61
1214374b4b381a0
1369b227b72924
142dc332243264
151600e7463050
hexb0413676e08

12112133320200 has 384 divisors, whose sum is σ = 40860633859200. Its totient is φ = 2955586682880.

The previous prime is 12112133320141. The next prime is 12112133320223. The reversal of 12112133320200 is 202333121121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550615602 + ... + 550637598.

It is an arithmetic number, because the mean of its divisors is an integer number (106407900675).

Almost surely, 212112133320200 is an apocalyptic number.

12112133320200 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 12112133320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20430316929600).

12112133320200 is an abundant number, since it is smaller than the sum of its proper divisors (28748500539000).

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

12112133320200 is a wasteful number, since it uses less digits than its factorization.

12112133320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23529 (or 23520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12112133320200 its reverse (202333121121), we get a palindrome (12314466441321).

The spelling of 12112133320200 in words is "twelve trillion, one hundred twelve billion, one hundred thirty-three million, three hundred twenty thousand, two hundred".