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121200201110112 = 2537881531601849
BaseRepresentation
bin11011100011101100011110…
…111011110001001001100000
3120220010121220101220121010120
4123203230132323301021200
5111341221002441010422
61105434334224000240
734346265653250105
oct3343543673611140
9526117811817116
10121200201110112
1135688797931303
12117154b2160080
13528218c59a037
1421d019a188aac
15e02a66d1945c
hex6e3b1eef1260

121200201110112 has 48 divisors (see below), whose sum is σ = 318151130194800. Its totient is φ = 40399990556672.

The previous prime is 121200201110083. The next prime is 121200201110123. The reversal of 121200201110112 is 211011102002121.

It is a happy number.

121200201110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 121200201110091 and 121200201110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74861764 + ... + 76463612.

It is an arithmetic number, because the mean of its divisors is an integer number (6628148545725).

Almost surely, 2121200201110112 is an apocalyptic number.

121200201110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121200201110112 is an abundant number, since it is smaller than the sum of its proper divisors (196950929084688).

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

121200201110112 is a wasteful number, since it uses less digits than its factorization.

121200201110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390015 (or 2390007 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121200201110112 its reverse (211011102002121), we get a palindrome (332211303112233).

The spelling of 121200201110112 in words is "one hundred twenty-one trillion, two hundred billion, two hundred one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 788153 1576306 1601849 2364459 3152612 3203698 4728918 4805547 6305224 6407396 9457836 9611094 12610448 12814792 18915672 19222188 25220896 25629584 37831344 38444376 51259168 75662688 76888752 153777504 1262502094897 2525004189794 3787506284691 5050008379588 7575012569382 10100016759176 15150025138764 20200033518352 30300050277528 40400067036704 60600100555056 121200201110112