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12101122010096 = 247108045732233
BaseRepresentation
bin1011000000011000001100…
…0101000010101111110000
31120211212002222222110112122
42300012003011002233300
53041231044213310341
641423102333413412
72356164040634330
oct260060305025760
946755088873478
1012101122010096
113946069998779
12143534133a268
1369a1917b8312
142db9a9a6b0c0
1515eba08dc94b
hexb0183142bf0

12101122010096 has 20 divisors (see below), whose sum is σ = 26795341594032. Its totient is φ = 5186195147136.

The previous prime is 12101122010069. The next prime is 12101122010099. The reversal of 12101122010096 is 69001022110121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101122010099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54022866005 + ... + 54022866228.

Almost surely, 212101122010096 is an apocalyptic number.

12101122010096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12101122010096 is an abundant number, since it is smaller than the sum of its proper divisors (14694219583936).

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

12101122010096 is a wasteful number, since it uses less digits than its factorization.

12101122010096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108045732248 (or 108045732242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 12101122010096 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, ten thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 108045732233 216091464466 432182928932 756320125631 864365857864 1512640251262 1728731715728 3025280502524 6050561005048 12101122010096