Search a number
-
+
12002211110001 = 37191493154913007
BaseRepresentation
bin1010111010100111101110…
…0001111001110001110001
31120111101210201200010111110
42232221323201321301301
53033121012021010001
641305423433503533
72346062660103240
oct256517341716161
946441721603443
1012002211110001
113908122302542
12141a138271ba9
13690a5a8110b8
142d6ca550c957
1515c3120d43d6
hexaea7b879c71

12002211110001 has 64 divisors (see below), whose sum is σ = 19278480384000. Its totient is φ = 6488394990336.

The previous prime is 12002211109997. The next prime is 12002211110003. The reversal of 12002211110001 is 10001111220021.

It is not a de Polignac number, because 12002211110001 - 22 = 12002211109997 is a prime.

It is a super-3 number, since 3×120022111100013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12002211110003) 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, 922743640 + ... + 922756646.

It is an arithmetic number, because the mean of its divisors is an integer number (301226256000).

Almost surely, 212002211110001 is an apocalyptic number.

It is an amenable number.

12002211110001 is a deficient number, since it is larger than the sum of its proper divisors (7276269273999).

12002211110001 is a wasteful number, since it uses less digits than its factorization.

12002211110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16078.

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

Adding to 12002211110001 its reverse (10001111220021), we get a palindrome (22003322330022).

The spelling of 12002211110001 in words is "twelve trillion, two billion, two hundred eleven million, one hundred ten thousand, one".

Divisors: 1 3 7 19 21 57 133 399 1493 1549 4479 4647 10451 10843 13007 28367 29431 31353 32529 39021 85101 88293 91049 198569 206017 247133 273147 595707 618051 741399 1729931 2312657 5189793 6937971 16188599 19419451 20147843 43940483 48565797 58258353 60443529 131821449 135936157 141034901 307583381 368969569 382809017 407808471 423104703 922750143 1106908707 1148427051 2582786983 2679663119 7748360949 8038989357 30080729599 90242188797 210565107193 571533862381 631695321579 1714601587143 4000737036667 12002211110001