Search a number
-
+
12011010011221 = 132188094222513
BaseRepresentation
bin1010111011001000011111…
…1111000011000001010101
31120112020111221100121211211
42232302013333003001111
53033242022030324341
641313440512501421
72346524011402414
oct256620777030125
946466457317754
1012011010011221
113910928030231
12141b992b4a871
13691830710c20
142d749bd3747b
1515c6797db181
hexaec87fc3055

12011010011221 has 8 divisors (see below), whose sum is σ = 12934996036760. Its totient is φ = 11087032868352.

The previous prime is 12011010011191. The next prime is 12011010011227. The reversal of 12011010011221 is 12211001011021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41416727121 + 11969593284100 = 203511^2 + 3459710^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12011010011221 - 233 = 12002420076629 is a prime.

It is a super-2 number, since 2×120110100112212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011010011227) 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, 733261 + ... + 4955773.

It is an arithmetic number, because the mean of its divisors is an integer number (1616874504595).

Almost surely, 212011010011221 is an apocalyptic number.

It is an amenable number.

12011010011221 is a deficient number, since it is larger than the sum of its proper divisors (923986025539).

12011010011221 is a wasteful number, since it uses less digits than its factorization.

12011010011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441335.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12011010011221 its reverse (12211001011021), we get a palindrome (24222011022242).

The spelling of 12011010011221 in words is "twelve trillion, eleven billion, ten million, eleven thousand, two hundred twenty-one".

Divisors: 1 13 218809 2844517 4222513 54892669 923923847017 12011010011221