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12111002212113 = 3271512053620117
BaseRepresentation
bin1011000000111100111111…
…1111000001011100010001
31120212210121120022201201200
42300033033333001130101
53041411313031241423
641431415000421413
72356663632156120
oct260171777013421
946783546281650
1012111002212113
11394a27a019792
12143723a177869
1369b0a771c7bc
142dc265d27ab7
1516007ced4d43
hexb03cffc1711

12111002212113 has 48 divisors (see below), whose sum is σ = 20135003256576. Its totient is φ = 6871381372800.

The previous prime is 12111002212061. The next prime is 12111002212117. The reversal of 12111002212113 is 31121220011121.

It is a happy number.

12111002212113 is a `hidden beast` number, since 121 + 110 + 0 + 221 + 211 + 3 = 666.

It is not a de Polignac number, because 12111002212113 - 220 = 12111001163537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111002212117) 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 47 ways as a sum of consecutive naturals, for example, 19220131 + ... + 19840247.

It is an arithmetic number, because the mean of its divisors is an integer number (419479234512).

Almost surely, 212111002212113 is an apocalyptic number.

It is an amenable number.

12111002212113 is a deficient number, since it is larger than the sum of its proper divisors (8024001044463).

12111002212113 is a wasteful number, since it uses less digits than its factorization.

12111002212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622334 (or 622331 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12111002212113 its reverse (31121220011121), we get a palindrome (43232222223234).

The spelling of 12111002212113 in words is "twelve trillion, one hundred eleven billion, two million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 151 453 1057 1359 2053 3171 6159 9513 14371 18477 43113 129339 310003 620117 930009 1860351 2170021 2790027 4340819 5581053 6510063 13022457 19530189 39067371 93637667 280913001 655463669 842739003 1273100201 1966391007 3819300603 5899173021 8911701407 11457901809 26735104221 80205312663 192238130351 576714391053 1345666912457 1730143173159 4037000737371 12111002212113