Search a number
-
+
12121122112201 = 194733134788463
BaseRepresentation
bin1011000001100010101100…
…1011011000001011001001
31120220202201211200220212001
42300120223023120023021
53042043024230042301
641440211105151001
72360502463665034
oct260305313301311
946822654626761
1012121122112201
1139535a2487483
1214391a332b461
1369c02b1ca56b
142dc945d7c01b
15160471678c01
hexb062b2d82c9

12121122112201 has 8 divisors (see below), whose sum is σ = 12761771771520. Its totient is φ = 11480742039312.

The previous prime is 12121122112159. The next prime is 12121122112213. The reversal of 12121122112201 is 10221122112121.

It is a happy number.

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 12121122112201 - 29 = 12121122111689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121122112301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67304305 + ... + 67484158.

It is an arithmetic number, because the mean of its divisors is an integer number (1595221471440).

Almost surely, 212121122112201 is an apocalyptic number.

It is an amenable number.

12121122112201 is a deficient number, since it is larger than the sum of its proper divisors (640649659319).

12121122112201 is a wasteful number, since it uses less digits than its factorization.

12121122112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134793215.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12121122112201 its reverse (10221122112121), we get a palindrome (22342244224322).

The spelling of 12121122112201 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 19 4733 89927 134788463 2560980797 637953795379 12121122112201