Search a number
-
+
12101232200200 = 235211131014189307
BaseRepresentation
bin1011000000011000100110…
…1001011000101000001000
31120211212101200022200221121
42300012021221120220020
53041231310420401300
641423121311245024
72356166546350303
oct260061151305010
946755350280847
1012101232200200
11394611610a180
121435372219774
1369a1ab589070
142db9ba551b3a
1515ebaa40681a
hexb0189a58a08

12101232200200 has 192 divisors, whose sum is σ = 33381411577920. Its totient is φ = 4021733760000.

The previous prime is 12101232200137. The next prime is 12101232200219. The reversal of 12101232200200 is 200223210121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793947 + ... + 4983253.

It is an arithmetic number, because the mean of its divisors is an integer number (173861518635).

Almost surely, 212101232200200 is an apocalyptic number.

12101232200200 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 12101232200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690705788960).

12101232200200 is an abundant number, since it is smaller than the sum of its proper divisors (21280179377720).

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

12101232200200 is a wasteful number, since it uses less digits than its factorization.

12101232200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189448 (or 4189439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12101232200200 its reverse (200223210121), we get a palindrome (12301455410321).

The spelling of 12101232200200 in words is "twelve trillion, one hundred one billion, two hundred thirty-two million, two hundred thousand, two hundred".