Search a number
-
+
12210120011001 = 3112329554728091
BaseRepresentation
bin1011000110101110001111…
…0111011010110011111001
31121020021110020221121120010
42301223203313122303321
53100022311210323001
641545130211052133
72400103104436533
oct261534367326371
947207406847503
1012210120011001
11398831247a060
1214524a05a1049
136a7542528143
14302d89b42853
1516292ea5b8d6
hexb1ae3ddacf9

12210120011001 has 32 divisors (see below), whose sum is σ = 19171402859520. Its totient is φ = 6834250068800.

The previous prime is 12210120010999. The next prime is 12210120011003. The reversal of 12210120011001 is 10011002101221.

It is an interprime number because it is at equal distance from previous prime (12210120010999) and next prime (12210120011003).

It is not a de Polignac number, because 12210120011001 - 21 = 12210120010999 is a prime.

It is a super-2 number, since 2×122101200110012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12210120011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277342035 + ... + 277386056.

It is an arithmetic number, because the mean of its divisors is an integer number (599106339360).

Almost surely, 212210120011001 is an apocalyptic number.

12210120011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210120011001 is a deficient number, since it is larger than the sum of its proper divisors (6961282848519).

12210120011001 is a wasteful number, since it uses less digits than its factorization.

12210120011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554728157.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210120011001 its reverse (10011002101221), we get a palindrome (22221122112222).

It can be divided in two parts, 122101 and 20011001, that added together give a palindrome (20133102).

The spelling of 12210120011001 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, eleven thousand, one".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 2001 7337 22011 554728091 1664184273 6102009001 12758746093 16087114639 18306027003 38276238279 48261343917 140346207023 176958261029 370003636697 421038621069 530874783087 1110010910091 4070040003667 12210120011001