Search a number
-
+
12321130221144 = 23321215911407397
BaseRepresentation
bin1011001101001011110010…
…0101110000111001011000
31121121212222202020120201200
42303102330211300321120
53103332133314034034
642112125445114200
72411113043604213
oct263227445607130
947555882216650
1012321130221144
113a203a8886a88
12146bb016b8960
136b4b540c8614
143084bb17077a
1516577a6a0a99
hexb34bc970e58

12321130221144 has 48 divisors (see below), whose sum is σ = 33370025835120. Its totient is φ = 4107006711360.

The previous prime is 12321130221143. The next prime is 12321130221157. The reversal of 12321130221144 is 44112203112321.

12321130221144 is a `hidden beast` number, since 1 + 2 + 3 + 211 + 302 + 2 + 1 + 144 = 666.

12321130221144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321130221143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8050854 + ... + 9458250.

It is an arithmetic number, because the mean of its divisors is an integer number (695208871565).

Almost surely, 212321130221144 is an apocalyptic number.

It is an amenable number.

12321130221144 is an abundant number, since it is smaller than the sum of its proper divisors (21048895613976).

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

12321130221144 is a wasteful number, since it uses less digits than its factorization.

12321130221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529000 (or 1528993 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12321130221144 its reverse (44112203112321), we get a palindrome (56433333333465).

The spelling of 12321130221144 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 121591 243182 364773 486364 729546 972728 1094319 1407397 1459092 2188638 2814794 2918184 4222191 4377276 5629588 8444382 8754552 11259176 12666573 16888764 25333146 33777528 50666292 101332584 171126808627 342253617254 513380425881 684507234508 1026760851762 1369014469016 1540141277643 2053521703524 3080282555286 4107043407048 6160565110572 12321130221144