Search a number
-
+
12002012122101 = 329973407417437
BaseRepresentation
bin1010111010100110111110…
…1010110100101111110101
31120111101021212020111102020
42232221233222310233311
53033120110100401401
641305352004503353
72346055022532501
oct256515752645765
946441255214366
1012002012122101
11390802aa50a31
12141a0a16aab59
13690a2851c691
142d6c86d11301
1515c2ee8c9d36
hexaea6fab4bf5

12002012122101 has 32 divisors (see below), whose sum is σ = 16730113559040. Its totient is φ = 7643526998016.

The previous prime is 12002012122099. The next prime is 12002012122117. The reversal of 12002012122101 is 10122121020021.

It is not a de Polignac number, because 12002012122101 - 21 = 12002012122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002012122141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28542955 + ... + 28960391.

It is an arithmetic number, because the mean of its divisors is an integer number (522816048720).

Almost surely, 212002012122101 is an apocalyptic number.

It is an amenable number.

12002012122101 is a deficient number, since it is larger than the sum of its proper divisors (4728101436939).

12002012122101 is a wasteful number, since it uses less digits than its factorization.

12002012122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420973.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002012122101 its reverse (10122121020021), we get a palindrome (22124133142122).

The spelling of 12002012122101 in words is "twelve trillion, two billion, twelve million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 29 87 97 291 2813 3407 8439 10221 98803 296409 330479 417437 991437 1252311 9583891 12105673 28751673 36317019 40491389 121474167 1174250281 1422207859 3522750843 4266623577 41244027911 123732083733 137954162323 413862486969 4000670707367 12002012122101