Search a number
-
+
12000201012221 = 198329712561263
BaseRepresentation
bin1010111010100000001110…
…1101111111001111111101
31120111012121122022120201112
42232220003231333033331
53033102402424342341
641304452150251405
72345662111413662
oct256500355771775
946435548276645
1012000201012221
113907290699304
121419877056b65
136907ca23c826
142d6b54585a69
1515c2458c9aeb
hexaea03b7f3fd

12000201012221 has 16 divisors (see below), whose sum is σ = 12788288701440. Its totient is φ = 11227855454640.

The previous prime is 12000201012193. The next prime is 12000201012227. The reversal of 12000201012221 is 12221010200021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12000201012221 is a prime.

It is a super-4 number, since 4×120002010122214 (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000201012196 and 12000201012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000201012227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3404636 + ... + 5965898.

It is an arithmetic number, because the mean of its divisors is an integer number (799268043840).

Almost surely, 212000201012221 is an apocalyptic number.

It is an amenable number.

12000201012221 is a deficient number, since it is larger than the sum of its proper divisors (788087689219).

12000201012221 is a wasteful number, since it uses less digits than its factorization.

12000201012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564336.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000201012221 its reverse (12221010200021), we get a palindrome (24221211212242).

The spelling of 12000201012221 in words is "twelve trillion, two hundred one million, twelve thousand, two hundred twenty-one".

Divisors: 1 19 83 1577 2971 56449 246593 2561263 4685267 48663997 212584829 4039111751 7609512373 144580735087 631589526959 12000201012221