Search a number
-
+
12031121010201 = 3727125915712789
BaseRepresentation
bin1010111100010011011010…
…1100011010111000011001
31120121011102111202020001220
42233010312230122320121
53034104213434311301
641331004245202253
72351135252151456
oct257046654327031
946534374666056
1012031121010201
113919408183447
121423866100389
136936b70b0817
142d8448c7482d
1515ce55180936
hexaf136b1ae19

12031121010201 has 32 divisors (see below), whose sum is σ = 16092320025600. Its totient is φ = 7995390490560.

The previous prime is 12031121010173. The next prime is 12031121010241. The reversal of 12031121010201 is 10201012113021.

It is not a de Polignac number, because 12031121010201 - 214 = 12031120993817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12031121010241) 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 31 ways as a sum of consecutive naturals, for example, 4313774515 + ... + 4313777303.

It is an arithmetic number, because the mean of its divisors is an integer number (502885000800).

Almost surely, 212031121010201 is an apocalyptic number.

It is an amenable number.

12031121010201 is a deficient number, since it is larger than the sum of its proper divisors (4061199015399).

12031121010201 is a wasteful number, since it uses less digits than its factorization.

12031121010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12031121010201 its reverse (10201012113021), we get a palindrome (22232133123222).

The spelling of 12031121010201 in words is "twelve trillion, thirty-one billion, one hundred twenty-one million, ten thousand, two hundred one".

Divisors: 1 3 727 1259 1571 2181 2789 3777 4713 8367 915293 1142117 1977889 2027603 2745879 3426351 3511351 4381519 5933667 6082809 10534053 13144557 1437925303 2552752177 3185364313 4313775909 5516332421 7658256531 9556092939 16548997263 4010373670067 12031121010201