Search a number
-
+
12040112160 = 253451675563
BaseRepresentation
bin10110011011010010…
…11000100000100000
31011002002121001220000
423031221120200200
5144124232042120
65310421220000
7604236156546
oct131551304040
934062531800
1012040112160
11511936951a
122400261600
13119b56a42b
1482309dd96
154a7045990
hex2cda58820

12040112160 has 240 divisors, whose sum is σ = 42753686976. Its totient is φ = 3190897152.

The previous prime is 12040112141. The next prime is 12040112167. The reversal of 12040112160 is 6121104021.

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

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

It is not an unprimeable number, because it can be changed into a prime (12040112167) 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 39 ways as a sum of consecutive naturals, for example, 2161539 + ... + 2167101.

Almost surely, 212040112160 is an apocalyptic number.

12040112160 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 12040112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21376843488).

12040112160 is an abundant number, since it is smaller than the sum of its proper divisors (30713574816).

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

12040112160 is a wasteful number, since it uses less digits than its factorization.

12040112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12040112160 its reverse (6121104021), we get a palindrome (18161216181).

The spelling of 12040112160 in words is "twelve billion, forty million, one hundred twelve thousand, one hundred sixty".