Search a number
-
+
12123022200 = 23352193732851
BaseRepresentation
bin10110100101001011…
…01010001101111000
31011021212121100002020
423102211222031320
5144311443202300
65322542234440
7606263663022
oct132245521570
934255540066
1012123022200
115161148013
122423b85a20
1311b27a9223
148300c3012
154ae4718a0
hex2d296a378

12123022200 has 192 divisors, whose sum is σ = 39679305600. Its totient is φ = 3053376000.

The previous prime is 12123022187. The next prime is 12123022217. The reversal of 12123022200 is 222032121.

It is a happy number.

12123022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12123022200.

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 47 ways as a sum of consecutive naturals, for example, 4250775 + ... + 4253625.

It is an arithmetic number, because the mean of its divisors is an integer number (206663050).

Almost surely, 212123022200 is an apocalyptic number.

12123022200 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 12123022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839652800).

12123022200 is an abundant number, since it is smaller than the sum of its proper divisors (27556283400).

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

12123022200 is a wasteful number, since it uses less digits than its factorization.

12123022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12123022200 its reverse (222032121), we get a palindrome (12345054321).

The spelling of 12123022200 in words is "twelve billion, one hundred twenty-three million, twenty-two thousand, two hundred".