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11121122012120 = 235461931964717
BaseRepresentation
bin1010000111010101011010…
…0001101110101111011000
31110101011120010002102002022
42201311112201232233120
52424202024213341440
635352550052354012
72225321525251151
oct241652641565730
943334503072068
1011121122012120
1135a84944a337a
1212b7421315908
13628942bc8303
142a639d90a928
15144444de2cb5
hexa1d5686ebd8

11121122012120 has 64 divisors (see below), whose sum is σ = 25079881780800. Its totient is φ = 4438254343680.

The previous prime is 11121122011963. The next prime is 11121122012137. The reversal of 11121122012120 is 2121022112111.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 171810002 + ... + 171874718.

It is an arithmetic number, because the mean of its divisors is an integer number (391873152825).

Almost surely, 211121122012120 is an apocalyptic number.

11121122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121122012120 is an abundant number, since it is smaller than the sum of its proper divisors (13958759768680).

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

11121122012120 is a wasteful number, since it uses less digits than its factorization.

11121122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74508 (or 74504 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11121122012120 its reverse (2121022112111), we get a palindrome (13242144124231).

Subtracting from 11121122012120 its reverse (2121022112111), we obtain a palindrome (9000099900009).

The spelling of 11121122012120 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 461 922 1844 2305 3688 4610 9220 9319 18440 18638 37276 46595 64717 74552 93190 129434 186380 258868 323585 372760 517736 647170 1294340 2588680 4296059 8592118 17184236 21480295 29834537 34368472 42960590 59669074 85921180 119338148 149172685 171842360 238676296 298345370 596690740 603097723 1193381480 1206195446 2412390892 3015488615 4824781784 6030977230 12061954460 24123908920 278028050303 556056100606 1112112201212 1390140251515 2224224402424 2780280503030 5560561006060 11121122012120