Search a number
-
+
12201210110112 = 253127095938647
BaseRepresentation
bin1011000110001101000011…
…0010110110000010100000
31121012102110022101202021220
42301203100302312002200
53044401034242010422
641541054125015040
72366336234513232
oct261432062660240
947172408352256
1012201210110112
113984560027701
1214508146b4480
136a6752632c3a
143027826a2252
151625ac72ae5c
hexb18d0cb60a0

12201210110112 has 24 divisors (see below), whose sum is σ = 32028176539296. Its totient is φ = 4067070036672.

The previous prime is 12201210110087. The next prime is 12201210110119. The reversal of 12201210110112 is 21101101210221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12201210110091 and 12201210110100.

It is not an unprimeable number, because it can be changed into a prime (12201210110119) 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, 63547969228 + ... + 63547969419.

It is an arithmetic number, because the mean of its divisors is an integer number (1334507355804).

Almost surely, 212201210110112 is an apocalyptic number.

12201210110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201210110112 is an abundant number, since it is smaller than the sum of its proper divisors (19826966429184).

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

12201210110112 is a wasteful number, since it uses less digits than its factorization.

12201210110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127095938660 (or 127095938652 counting only the distinct ones).

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

Adding to 12201210110112 its reverse (21101101210221), we get a palindrome (33302311320333).

The spelling of 12201210110112 in words is "twelve trillion, two hundred one billion, two hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127095938647 254191877294 381287815941 508383754588 762575631882 1016767509176 1525151263764 2033535018352 3050302527528 4067070036704 6100605055056 12201210110112