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12012112120212 = 2232557599048081
BaseRepresentation
bin1010111011001100100110…
…1011010000100110010100
31120112100100202011120011100
42232303021223100212110
53033301301200321322
641314142122510100
72346563223231231
oct256631153204624
946470322146140
1012012112120212
113911343156006
121420040065330
13691977b4c819
142d7564464788
1515c6e143bdac
hexaecc9ad0994

12012112120212 has 36 divisors (see below), whose sum is σ = 30418463507796. Its totient is φ = 3996848789760.

The previous prime is 12012112120199. The next prime is 12012112120237. The reversal of 12012112120212 is 21202121121021.

12012112120212 is a `hidden beast` number, since 1 + 201 + 211 + 21 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6970677161616 + 5041434958596 = 2640204^2 + 2245314^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299503989 + ... + 299544092.

It is an arithmetic number, because the mean of its divisors is an integer number (844957319661).

Almost surely, 212012112120212 is an apocalyptic number.

12012112120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12012112120212 is an abundant number, since it is smaller than the sum of its proper divisors (18406351387584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12012112120212 is a wasteful number, since it uses less digits than its factorization.

12012112120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599048648 (or 599048643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012112120212 its reverse (21202121121021), we get a palindrome (33214233241233).

The spelling of 12012112120212 in words is "twelve trillion, twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 599048081 1198096162 1797144243 2396192324 3594288486 5391432729 7188576972 10782865458 21565730916 333669781117 667339562234 1001009343351 1334679124468 2002018686702 3003028030053 4004037373404 6006056060106 12012112120212