Search a number
-
+
12144033044121 = 3111993135908151
BaseRepresentation
bin1011000010111000000011…
…0001101001011010011001
31120222221212112122212000010
42300232000301221122121
53042431434424402441
641454520342032133
72362243313462646
oct260560061513231
946887775585003
1012144033044121
11396228a071760
121441718118649
136a123c9a2a04
142ddabaac2dcd
15160d62c43116
hexb0b80c69699

12144033044121 has 32 divisors (see below), whose sum is σ = 17809533388800. Its totient is φ = 7299637488000.

The previous prime is 12144033044027. The next prime is 12144033044183.

It is a happy number.

12144033044121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12144033044121 - 215 = 12144033011353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12144033044021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898605 + ... + 5009546.

It is an arithmetic number, because the mean of its divisors is an integer number (556547918400).

Almost surely, 212144033044121 is an apocalyptic number.

12144033044121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12144033044121 is a deficient number, since it is larger than the sum of its proper divisors (5665500344679).

12144033044121 is a wasteful number, since it uses less digits than its factorization.

12144033044121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908677.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 1214403 and 3044121, that added together give a palindrome (4258524).

The spelling of 12144033044121 in words is "twelve trillion, one hundred forty-four billion, thirty-three million, forty-four thousand, one hundred twenty-one".

Divisors: 1 3 11 33 199 313 597 939 2189 3443 6567 10329 62287 186861 685157 2055471 5908151 17724453 64989661 194968983 1175722049 1849251263 3527166147 5547753789 12932942539 20341763893 38798827617 61025291679 368001001337 1104003004011 4048011014707 12144033044121