Search a number
-
+
12000471120 = 24325117121341
BaseRepresentation
bin10110010110100100…
…01010100001010000
31010222100000002121100
423023102022201100
5144034110033440
65302443424400
7603245215161
oct131322124120
933870002540
1012000471120
1150a8a53630
1223aab25100
13119329b0b1
1481bb01768
154a3815230
hex2cb48a850

12000471120 has 240 divisors, whose sum is σ = 44586681984. Its totient is φ = 2868096000.

The previous prime is 12000471113. The next prime is 12000471127. The reversal of 12000471120 is 2117400021.

It is an interprime number because it is at equal distance from previous prime (12000471113) and next prime (12000471127).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×120004711202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12000471093 and 12000471102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000471127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551650 + ... + 572990.

Almost surely, 212000471120 is an apocalyptic number.

12000471120 is a gapful number since it is divisible by the number (10) 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 12000471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22293340992).

12000471120 is an abundant number, since it is smaller than the sum of its proper divisors (32586210864).

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

12000471120 is a wasteful number, since it uses less digits than its factorization.

12000471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21442 (or 21433 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 12000471120 its reverse (2117400021), we get a palindrome (14117871141).

The spelling of 12000471120 in words is "twelve billion, four hundred seventy-one thousand, one hundred twenty".