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12122101102212 = 2232336725030617
BaseRepresentation
bin1011000001100110010110…
…0001111011011010000100
31120220212021001211202200100
42300121211201323122010
53042102030340232322
641440452200244100
72360535652162233
oct260314541733204
946825231752610
1012122101102212
113953a55060132
121439417170630
1369c155c8c6aa
142dc9d9dbab1a
151604cc5a9dac
hexb066587b684

12122101102212 has 18 divisors (see below), whose sum is σ = 30641977786238. Its totient is φ = 4040700367392.

The previous prime is 12122101102187. The next prime is 12122101102273. The reversal of 12122101102212 is 21220110122121.

12122101102212 is a `hidden beast` number, since 121 + 2 + 210 + 110 + 221 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7603993761156 + 4518107341056 = 2757534^2 + 2125584^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 168362515273 + ... + 168362515344.

Almost surely, 212122101102212 is an apocalyptic number.

12122101102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122101102212 is an abundant number, since it is smaller than the sum of its proper divisors (18519876684026).

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

12122101102212 is a wasteful number, since it uses less digits than its factorization.

12122101102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336725030627 (or 336725030622 counting only the distinct ones).

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

Adding to 12122101102212 its reverse (21220110122121), we get a palindrome (33342211224333).

The spelling of 12122101102212 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 336725030617 673450061234 1010175091851 1346900122468 2020350183702 3030525275553 4040700367404 6061050551106 12122101102212