Search a number
-
+
12200131000122 = 231329592833171019
BaseRepresentation
bin1011000110001001000001…
…1110010111011100111010
31121012022200002212021200020
42301202100132113130322
53044341332014000442
641540355055551310
72366300422314042
oct261422036273472
947168602767606
1012200131000122
11398405699036a
12145057322b536
136a660cbb7810
143026bd240722
15162547b1e9ec
hexb189079773a

12200131000122 has 256 divisors, whose sum is σ = 27856555776000. Its totient is φ = 3535747439616.

The previous prime is 12200131000039. The next prime is 12200131000159. The reversal of 12200131000122 is 22100013100221.

12200131000122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11972650129 + ... + 11972651147.

It is an arithmetic number, because the mean of its divisors is an integer number (108814671000).

Almost surely, 212200131000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200131000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928277888000).

12200131000122 is an abundant number, since it is smaller than the sum of its proper divisors (15656424775878).

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

12200131000122 is a wasteful number, since it uses less digits than its factorization.

12200131000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725.

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

Adding to 12200131000122 its reverse (22100013100221), we get a palindrome (34300144100343).

The spelling of 12200131000122 in words is "twelve trillion, two hundred billion, one hundred thirty-one million, one hundred twenty-two", and thus it is an aban number.