Search a number
-
+
12013120332312 = 2331160377537559
BaseRepresentation
bin1010111011010000010111…
…0001010010001000011000
31120112102222000022001011020
42232310011301102020120
53033310332301113222
641314430140202440
72346630215004141
oct256640561221030
946472860261136
1012013120332312
113911810278750
121420281839420
13691aa89a3828
142d761c30cac8
1515c74ebe165c
hexaed05c52218

12013120332312 has 64 divisors (see below), whose sum is σ = 32768486841600. Its totient is φ = 3639736007040.

The previous prime is 12013120332259. The next prime is 12013120332319. The reversal of 12013120332312 is 21323302131021.

It is a super-2 number, since 2×120131203323122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013120332319) 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, 2175012 + ... + 5362547.

It is an arithmetic number, because the mean of its divisors is an integer number (512007606900).

Almost surely, 212013120332312 is an apocalyptic number.

12013120332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12013120332312 is an abundant number, since it is smaller than the sum of its proper divisors (20755366509288).

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

12013120332312 is a wasteful number, since it uses less digits than its factorization.

12013120332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543616 (or 7543612 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12013120332312 its reverse (21323302131021), we get a palindrome (33336422463333).

The spelling of 12013120332312 in words is "twelve trillion, thirteen billion, one hundred twenty million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 6037 12074 18111 24148 36222 48296 66407 72444 132814 144888 199221 265628 398442 531256 796884 1593768 7537559 15075118 22612677 30150236 45225354 60300472 82913149 90450708 165826298 180901416 248739447 331652596 497478894 663305192 994957788 1989915576 45504243683 91008487366 136512731049 182016974732 273025462098 364033949464 500546680513 546050924196 1001093361026 1092101848392 1501640041539 2002186722052 3003280083078 4004373444104 6006560166156 12013120332312