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12121311301113 = 372343862767651
BaseRepresentation
bin1011000001100011011001…
…1101000100110111111001
31120220210020000200201020210
42300120312131010313321
53042043421143113423
641440241544141333
72360510252034150
oct260306635046771
946823200621223
1012121311301113
11395368a255953
121439236767849
1369c05b46aa71
142dc963148597
15160483099b93
hexb0636744df9

12121311301113 has 64 divisors (see below), whose sum is σ = 19724439601152. Its totient is φ = 6470390203200.

The previous prime is 12121311301049. The next prime is 12121311301171. The reversal of 12121311301113 is 31110311312121.

It is not a de Polignac number, because 12121311301113 - 26 = 12121311301049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12121311301113.

It is not an unprimeable number, because it can be changed into a prime (12121311301013) 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, 179140338 + ... + 179207988.

It is an arithmetic number, because the mean of its divisors is an integer number (308194368768).

Almost surely, 212121311301113 is an apocalyptic number.

It is an amenable number.

12121311301113 is a deficient number, since it is larger than the sum of its proper divisors (7603128300039).

12121311301113 is a wasteful number, since it uses less digits than its factorization.

12121311301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76354.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 12121311301113 its reverse (31110311312121), we get a palindrome (43231622613234).

The spelling of 12121311301113 in words is "twelve trillion, one hundred twenty-one billion, three hundred eleven million, three hundred one thousand, one hundred thirteen".

Divisors: 1 3 7 21 23 43 69 129 161 301 483 903 989 2967 6923 8627 20769 25881 60389 67651 181167 198421 202953 370961 473557 595263 1112883 1388947 1420671 1555973 2596727 2908993 4166841 4667919 7790181 8532103 8726979 10891811 20362951 25596309 32675433 59724721 61088853 66906839 179174163 200720517 468347873 583625177 1405043619 1750875531 4085376239 12256128717 13423379071 25095882611 40270137213 75287647833 93963653497 175671178277 281890960491 527013534831 577205300053 1731615900159 4040437100371 12121311301113