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12300211312011 = 3271737996731337
BaseRepresentation
bin1011001011111101110110…
…1110011101010110001011
31121112212222212121220010100
42302333131232131112023
53103011313043441021
642054350012220443
72406442463035020
oct262773556352613
947485885556110
1012300211312011
113a1254368aa27
121467a43a6a723
136b2b9c23658c
14307494c09547
15164e53e20626
hexb2fddb9d58b

12300211312011 has 96 divisors (see below), whose sum is σ = 21579236490240. Its totient is φ = 6590751971328.

The previous prime is 12300211312009. The next prime is 12300211312061. The reversal of 12300211312011 is 11021311200321.

12300211312011 is a `hidden beast` number, since 12 + 300 + 21 + 131 + 201 + 1 = 666.

It is not a de Polignac number, because 12300211312011 - 21 = 12300211312009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12300211312061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392498335 + ... + 392529671.

It is an arithmetic number, because the mean of its divisors is an integer number (224783713440).

Almost surely, 212300211312011 is an apocalyptic number.

12300211312011 is a deficient number, since it is larger than the sum of its proper divisors (9279025178229).

12300211312011 is a wasteful number, since it uses less digits than its factorization.

12300211312011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32713 (or 32710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12300211312011 its reverse (11021311200321), we get a palindrome (23321522512332).

The spelling of 12300211312011 in words is "twelve trillion, three hundred billion, two hundred eleven million, three hundred twelve thousand, eleven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 379 967 1071 1137 2653 2901 3411 6443 6769 7959 8703 16439 19329 20307 23877 31337 45101 49317 57987 60921 94011 115073 135303 147951 219359 282033 345219 366493 405909 532729 658077 1035657 1099479 1598187 1974231 2565451 3298437 3729103 4794561 6230381 7696353 11187309 11876723 18691143 23089059 30302879 33561927 35630169 43612667 56073429 83137061 90908637 106890507 130838001 201904291 212120153 249411183 272725911 392514003 515148943 605712873 636360459 748233549 1413330037 1545446829 1817138619 1909081377 3606042601 4239990111 4636340487 10818127803 11484791141 12719970333 32454383409 34454373423 80393537987 103363120269 195241449397 241180613961 585724348191 723541841883 1366690145779 1757173044573 4100070437337 12300211312011