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12002220101001 = 31359113131352367
BaseRepresentation
bin1010111010100111110000…
…0100001100110110001001
31120111101211100120220211110
42232221330010030312021
53033121021321213001
641305424354320533
72346063126401124
oct256517404146611
946441740526743
1012002220101001
113908127393619
12141a13b289149
13690a5c63b610
142d6ca67ad3bb
1515c312cad3d6
hexaea7c10cd89

12002220101001 has 64 divisors (see below), whose sum is σ = 17816177111040. Its totient is φ = 7141584952320.

The previous prime is 12002220100987. The next prime is 12002220101101. The reversal of 12002220101001 is 10010102220021.

It is not a de Polignac number, because 12002220101001 - 213 = 12002220092809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12002220101101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33885520 + ... + 34237886.

It is an arithmetic number, because the mean of its divisors is an integer number (278377767360).

Almost surely, 212002220101001 is an apocalyptic number.

It is an amenable number.

12002220101001 is a deficient number, since it is larger than the sum of its proper divisors (5813957010039).

12002220101001 is a wasteful number, since it uses less digits than its factorization.

12002220101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352686.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002220101001 its reverse (10010102220021), we get a palindrome (22012322321022).

The spelling of 12002220101001 in words is "twelve trillion, two billion, two hundred twenty million, one hundred one thousand, one".

Divisors: 1 3 13 39 59 113 131 177 339 393 767 1469 1703 2301 4407 5109 6667 7729 14803 20001 23187 44409 86671 100477 192439 260013 301431 352367 577317 873377 1057101 2620131 4580771 11353901 13742313 20789653 34061703 39817471 46160077 62368959 119452413 138480231 270265489 517627123 600081001 810796467 1552881369 1800243003 2349230789 2723444543 5216088701 7047692367 8170333629 15648266103 30540000257 35404779059 67809153113 91620000771 106214337177 203427459339 307749233359 923247700077 4000740033667 12002220101001