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12111211101201 = 3318931733713697
BaseRepresentation
bin1011000000111101110001…
…1011110111110000010001
31120212211011010101101200120
42300033130123313300101
53041412230020214301
641431451421540453
72360002046535162
oct260173433676021
946784133341616
1012111211101201
11394a376a231a3
121437298114729
1369b10ba99b04
142dc285981769
151600914e7e36
hexb03dc6f7c11

12111211101201 has 64 divisors (see below), whose sum is σ = 16961078384640. Its totient is φ = 7678104698880.

The previous prime is 12111211101179. The next prime is 12111211101217. The reversal of 12111211101201 is 10210111211121.

It is not a de Polignac number, because 12111211101201 - 26 = 12111211101137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111211101281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884216785 + ... + 884230481.

It is an arithmetic number, because the mean of its divisors is an integer number (265016849760).

Almost surely, 212111211101201 is an apocalyptic number.

It is an amenable number.

12111211101201 is a deficient number, since it is larger than the sum of its proper divisors (4849867283439).

12111211101201 is a wasteful number, since it uses less digits than its factorization.

12111211101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12111211101201 its reverse (10210111211121), we get a palindrome (22321322312322).

The spelling of 12111211101201 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, one hundred one thousand, two hundred one".

Divisors: 1 3 31 89 93 267 317 337 951 1011 2759 8277 9827 10447 13697 28213 29481 29993 31341 41091 84639 89979 106829 320487 424607 874603 929783 1219033 1273821 2623809 2789349 3311699 3657099 4341949 4615889 9507781 9935097 13025847 13847667 28523343 37790023 113370069 134600419 143092559 294741211 386433461 403801257 410814121 429277677 884223633 1159300383 1232442363 1463236813 4389710439 11979437291 12735237751 35938311873 38205713253 45360341203 130228076357 136081023609 390684229071 4037070367067 12111211101201