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12012211003113 = 3815787713297
BaseRepresentation
bin1010111011001100111110…
…0100011101111011101001
31120112100121122020100000000
42232303033210131323221
53033302002004044423
641314200014133213
72346565533561456
oct256631744357351
946470548210000
1012012211003113
113911393a54212
1214200691b1209
13691992491a09
142d757364482d
1515c6e9e70843
hexaeccf91dee9

12012211003113 has 72 divisors (see below), whose sum is σ = 18154201991432. Its totient is φ = 7947462541824.

The previous prime is 12012211003049. The next prime is 12012211003127. The reversal of 12012211003113 is 31130011221021.

12012211003113 is a `hidden beast` number, since 120 + 1 + 221 + 10 + 0 + 311 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151922211984 + 11860288791129 = 389772^2 + 3443877^2 .

It is not a de Polignac number, because 12012211003113 - 26 = 12012211003049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12012211003813) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 903370881 + ... + 903384177.

Almost surely, 212012211003113 is an apocalyptic number.

It is an amenable number.

12012211003113 is a deficient number, since it is larger than the sum of its proper divisors (6141990988319).

12012211003113 is an frugal number, since it uses more digits than its factorization.

12012211003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14334 counting only the distinct ones).

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

Adding to 12012211003113 its reverse (31130011221021), we get a palindrome (43142222224134).

The spelling of 12012211003113 in words is "twelve trillion, twelve billion, two hundred eleven million, three thousand, one hundred thirteen".

Divisors: 1 3 9 27 81 157 243 471 729 877 1413 2187 2631 4239 6561 7893 12717 13297 23679 38151 39891 71037 114453 119673 137689 213111 343359 359019 413067 639333 1030077 1077057 1239201 1917999 2087629 3231171 3717603 5753997 6262887 9693513 11152809 11661469 18788661 29080539 33458427 34984407 56365983 87241617 100375281 104953221 169097949 301125843 314859663 507293847 903377529 944578989 1521881541 1830850633 2833736967 4565644623 5492551899 8501210901 13696933869 16477655697 25503632703 49432967091 76510898109 148298901273 444896703819 1334690111457 4004070334371 12012211003113