Search a number
-
+
12000201210012 = 2232524339615607
BaseRepresentation
bin1010111010100000001110…
…1110101111100010011100
31120111012121122200122001010
42232220003232233202130
53033102403002210022
641304452154415220
72345662113166431
oct256500356574234
946435548618033
1012000201210012
113907290813974
121419877131510
136907ca2ab872
142d6b545d7b88
1515c24591850c
hexaea03baf89c

12000201210012 has 24 divisors (see below), whose sum is σ = 28001579433856. Its totient is φ = 3999908506608.

The previous prime is 12000201210007. The next prime is 12000201210017. The reversal of 12000201210012 is 21001210200021.

It is an interprime number because it is at equal distance from previous prime (12000201210007) and next prime (12000201210017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12000201210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000201210017) 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 7 ways as a sum of consecutive naturals, for example, 19504888 + ... + 20110719.

Almost surely, 212000201210012 is an apocalyptic number.

12000201210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000201210012 is an abundant number, since it is smaller than the sum of its proper divisors (16001378223844).

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

12000201210012 is a wasteful number, since it uses less digits than its factorization.

12000201210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39640857 (or 39640855 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000201210012 its reverse (21001210200021), we get a palindrome (33001411410033).

The spelling of 12000201210012 in words is "twelve trillion, two hundred one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 25243 50486 75729 100972 151458 302916 39615607 79231214 118846821 158462428 237693642 475387284 1000016767501 2000033535002 3000050302503 4000067070004 6000100605006 12000201210012