Search a number
-
+
12441113120 = 25577756957
BaseRepresentation
bin10111001011000110…
…00101001000100000
31012010001011000210102
423211203011020200
5200434411104440
65414304121532
7620205500552
oct134543051040
935101130712
1012441113120
115304758477
1224b26062a8
13123366c4c7
148604454d2
154cc355b15
hex2e58c5220

12441113120 has 24 divisors (see below), whose sum is σ = 29392130124. Its totient is φ = 4976445184.

The previous prime is 12441113119. The next prime is 12441113131. The reversal of 12441113120 is 2131114421.

It can be written as a sum of positive squares in 2 ways, for example, as 12268663696 + 172449424 = 110764^2 + 13132^2 .

It is a super-2 number, since 2×124411131202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12441113092 and 12441113101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 38878319 + ... + 38878638.

Almost surely, 212441113120 is an apocalyptic number.

12441113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441113120 is an abundant number, since it is smaller than the sum of its proper divisors (16951017004).

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

12441113120 is an equidigital number, since it uses as much as digits as its factorization.

12441113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77756972 (or 77756964 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12441113120 its reverse (2131114421), we get a palindrome (14572227541).

The spelling of 12441113120 in words is "twelve billion, four hundred forty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 77756957 155513914 311027828 388784785 622055656 777569570 1244111312 1555139140 2488222624 3110278280 6220556560 12441113120