Search a number
-
+
12120202201101 = 3171992141557789
BaseRepresentation
bin1011000001011111010001…
…0110001100100000001101
31120220200100201201121001120
42300113310112030200031
53042034133230413401
641435535524231153
72360440623610341
oct260276426144015
946820321647046
1012120202201101
113953170195675
121438b8723b4b9
1369bc12752077
142dc899b1b621
1516041aa17836
hexb05f458c80d

12120202201101 has 32 divisors (see below), whose sum is σ = 17204920992000. Its totient is φ = 7563069803520.

The previous prime is 12120202201097. The next prime is 12120202201111. The reversal of 12120202201101 is 10110220202121.

It is not a de Polignac number, because 12120202201101 - 22 = 12120202201097 is a prime.

It is a super-2 number, since 2×121202022011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120202201111) 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 31 ways as a sum of consecutive naturals, for example, 21450115 + ... + 22007903.

It is an arithmetic number, because the mean of its divisors is an integer number (537653781000).

Almost surely, 212120202201101 is an apocalyptic number.

It is an amenable number.

12120202201101 is a deficient number, since it is larger than the sum of its proper divisors (5084718790899).

12120202201101 is a wasteful number, since it uses less digits than its factorization.

12120202201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560149.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120202201101 its reverse (10110220202121), we get a palindrome (22230422403222).

The spelling of 12120202201101 in words is "twelve trillion, one hundred twenty billion, two hundred two million, two hundred one thousand, one hundred one".

Divisors: 1 3 17 51 199 597 2141 3383 6423 10149 36397 109191 426059 557789 1278177 1673367 7243003 9482413 21729009 28447239 111000011 333000033 1194226249 1887000187 3582678747 5661000561 20301846233 60905538699 237651023551 712953070653 4040067400367 12120202201101