Search a number
-
+
12102222012132 = 2237144074071573
BaseRepresentation
bin1011000000011100010010…
…1001001101111011100100
31120211221221122211100122210
42300013010221031323210
53041240322313342012
641423403430323420
72356233225536340
oct260070451157344
946757848740583
1012102222012132
11394658390456a
1214355a97b9570
1369a308669bb5
142dba71baa620
1515ec1727423c
hexb01c4a4dee4

12102222012132 has 24 divisors (see below), whose sum is σ = 32272592032576. Its totient is φ = 3457777717728.

The previous prime is 12102222012131. The next prime is 12102222012157. The reversal of 12102222012132 is 23121022220121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12102222012099 and 12102222012108.

It is not an unprimeable number, because it can be changed into a prime (12102222012131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72037035703 + ... + 72037035870.

Almost surely, 212102222012132 is an apocalyptic number.

12102222012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102222012132 is an abundant number, since it is smaller than the sum of its proper divisors (20170370020444).

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

12102222012132 is a wasteful number, since it uses less digits than its factorization.

12102222012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144074071587 (or 144074071585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12102222012132 its reverse (23121022220121), we get a palindrome (35223244232253).

The spelling of 12102222012132 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 144074071573 288148143146 432222214719 576296286292 864444429438 1008518501011 1728888858876 2017037002022 3025555503033 4034074004044 6051111006066 12102222012132