Search a number
-
+
12011332201201 = 311374436384181
BaseRepresentation
bin1010111011001001101100…
…1100000110101011110001
31120112021100101121120102001
42232302123030012223301
53033243202020414301
641313532502254001
72346535003101664
oct256623314065361
946467311546361
1012011332201201
113910a82990343
12141ba62a27301
136918823aab98
142d74cca456db
1515c697c2ec01
hexaec9b306af1

12011332201201 has 16 divisors (see below), whose sum is σ = 12517491184128. Its totient is φ = 11512974844800.

The previous prime is 12011332201111. The next prime is 12011332201229. The reversal of 12011332201201 is 10210223311021.

It is a cyclic number.

It is not a de Polignac number, because 12011332201201 - 29 = 12011332200689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011332201291) 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, 1310670 + ... + 5073511.

It is an arithmetic number, because the mean of its divisors is an integer number (782343199008).

Almost surely, 212011332201201 is an apocalyptic number.

It is an amenable number.

12011332201201 is a deficient number, since it is larger than the sum of its proper divisors (506158982927).

12011332201201 is a wasteful number, since it uses less digits than its factorization.

12011332201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384792.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12011332201201 its reverse (10210223311021), we get a palindrome (22221555512222).

The spelling of 12011332201201 in words is "twelve trillion, eleven billion, three hundred thirty-two million, two hundred one thousand, two hundred one".

Divisors: 1 31 137 443 4247 13733 60691 1881421 6384181 197909611 874632797 2828192183 27113616707 87673957673 387462329071 12011332201201