Search a number
-
+
12010200011232 = 2532341771302227
BaseRepresentation
bin1010111011000101011110…
…1101001001000111100000
31120112011102111012100202020
42232301113231021013200
53033233342200324412
641313224255421440
72346464644456413
oct256612755110740
946464374170666
1012010200011232
11391055188a255
12141b7a7824880
136917319694a7
142d7422527b7a
1515c62d63b18c
hexaec57b491e0

12010200011232 has 96 divisors (see below), whose sum is σ = 32905405516032. Its totient is φ = 3828419426304.

The previous prime is 12010200011207. The next prime is 12010200011239. The reversal of 12010200011232 is 23211000201021.

12010200011232 is digitally balanced in base 2, 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010200011239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8571703 + ... + 9873929.

It is an arithmetic number, because the mean of its divisors is an integer number (342764640792).

Almost surely, 212010200011232 is an apocalyptic number.

12010200011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010200011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452702758016).

12010200011232 is an abundant number, since it is smaller than the sum of its proper divisors (20895205504800).

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

12010200011232 is a wasteful number, since it uses less digits than its factorization.

12010200011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306440 (or 1306432 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12010200011232 its reverse (23211000201021), we get a palindrome (35221200212253).

The spelling of 12010200011232 in words is "twelve trillion, ten billion, two hundred million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 4177 8354 12531 16708 25062 33416 50124 66832 96071 100248 133664 192142 200496 288213 384284 400992 576426 768568 1152852 1302227 1537136 2305704 2604454 3074272 3906681 4611408 5208908 7813362 9222816 10417816 15626724 20835632 29951221 31253448 41671264 59902442 62506896 89853663 119804884 125013792 179707326 239609768 359414652 479219536 718829304 958439072 1437658608 2875317216 5439402179 10878804358 16318206537 21757608716 32636413074 43515217432 65272826148 87030434864 125106250117 130545652296 174060869728 250212500234 261091304592 375318750351 500425000468 522182609184 750637500702 1000850000936 1501275001404 2001700001872 3002550002808 4003400003744 6005100005616 12010200011232