Search a number
-
+
12120110000201 = 73975293782387
BaseRepresentation
bin1011000001011110111011…
…0110011110100001001001
31120220200010022020022012102
42300113232312132201021
53042033441130001301
641435522432123145
72360435424120140
oct260275666364111
946820108208172
1012120110000201
113953123140785
121438b603964b5
1369bbc960c418
142dc88b79a757
151604128a3b6b
hexb05eed9e849

12120110000201 has 16 divisors (see below), whose sum is σ = 13886875725696. Its totient is φ = 10362176263296.

The previous prime is 12120110000179. The next prime is 12120110000237. The reversal of 12120110000201 is 10200001102121.

It is a cyclic number.

It is not a de Polignac number, because 12120110000201 - 222 = 12120105805897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120110000501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147070730 + ... + 147153116.

It is an arithmetic number, because the mean of its divisors is an integer number (867929732856).

Almost surely, 212120110000201 is an apocalyptic number.

It is an amenable number.

12120110000201 is a deficient number, since it is larger than the sum of its proper divisors (1766765725495).

12120110000201 is an equidigital number, since it uses as much as digits as its factorization.

12120110000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135728.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12120110000201 its reverse (10200001102121), we get a palindrome (22320111102322).

The spelling of 12120110000201 in words is "twelve trillion, one hundred twenty billion, one hundred ten million, two hundred one", and thus it is an aban number.

Divisors: 1 7 397 2779 52937 82387 370559 576709 21015989 32707639 147111923 228953473 4361320619 30529244333 1731444285743 12120110000201