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112122101112012 = 22331099524473421
BaseRepresentation
bin11001011111100101110110…
…000000100001110011001100
3112200222202202000011210102000
4121133211312000201303030
5104144002030341041022
61034244103203232300
732421361121405205
oct3137456600416314
9480882660153360
10112122101112012
11327a8797073702
12106aa020978690
134a740b8109c24
141d98a4abd25ac
15ce6846d7c6ac
hex65f976021ccc

112122101112012 has 48 divisors (see below), whose sum is σ = 293353781397600. Its totient is φ = 37031152656960.

The previous prime is 112122101111989. The next prime is 112122101112013. The reversal of 112122101112012 is 210211101221211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (112122101112013) by changing a digit.

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, 4762224939 + ... + 4762248482.

It is an arithmetic number, because the mean of its divisors is an integer number (6111537112450).

Almost surely, 2112122101112012 is an apocalyptic number.

112122101112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112122101112012 is an abundant number, since it is smaller than the sum of its proper divisors (181231680285588).

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

112122101112012 is a wasteful number, since it uses less digits than its factorization.

112122101112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524473543 (or 9524473535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112122101112012 its reverse (210211101221211), we get a palindrome (322333202333223).

The spelling of 112122101112012 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 9524473421 19048946842 28573420263 38097893684 57146840526 85720260789 114293681052 171440521578 257160782367 342881043156 514321564734 1028643129468 1038167602889 2076335205778 3114502808667 4152670411556 6229005617334 9343508426001 12458011234668 18687016852002 28030525278003 37374033704004 56061050556006 112122101112012