Search a number
-
+
12044441123120 = 2457237782910607
BaseRepresentation
bin1010111101000101000010…
…1000100111100100110000
31120122102210210220001220102
42233101100220213210300
53034314003411414440
641341050113331532
72352116323225100
oct257212050474460
946572723801812
1012044441123120
11392402301a42a
121426362b66ba8
13694a2a8a2c43
142d8d4dd2b200
1515d484765b15
hexaf450a27930

12044441123120 has 240 divisors, whose sum is σ = 33463138400640. Its totient is φ = 4017021990912.

The previous prime is 12044441123087. The next prime is 12044441123129. The reversal of 12044441123120 is 2132114444021.

It is not an unprimeable number, because it can be changed into a prime (12044441123129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135512857 + ... + 1135523463.

It is an arithmetic number, because the mean of its divisors is an integer number (139429743336).

Almost surely, 212044441123120 is an apocalyptic number.

12044441123120 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 12044441123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731569200320).

12044441123120 is an abundant number, since it is smaller than the sum of its proper divisors (21418697277520).

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

12044441123120 is a wasteful number, since it uses less digits than its factorization.

12044441123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18500 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 12044441123120 its reverse (2132114444021), we get a palindrome (14176555567141).

The spelling of 12044441123120 in words is "twelve trillion, forty-four billion, four hundred forty-one million, one hundred twenty-three thousand, one hundred twenty".