Search a number
-
+
12360080304 = 2435112134347
BaseRepresentation
bin10111000001011011…
…11101101110110000
31011220101200010200000
423200231331232300
5200303140032204
65402251230000
7615202643355
oct134055755660
934811603600
1012360080304
115272a41300
12248b448300
13121c939cb0
1485379062c
154c519b039
hex2e0b7dbb0

12360080304 has 720 divisors, whose sum is σ = 44374826496. Its totient is φ = 3305111040.

The previous prime is 12360080273. The next prime is 12360080329. The reversal of 12360080304 is 40308006321.

It is a happy number.

12360080304 is a `hidden beast` number, since 1 + 23 + 600 + 8 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 262980409 + ... + 262980455.

Almost surely, 212360080304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12360080304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187413248).

12360080304 is an abundant number, since it is smaller than the sum of its proper divisors (32014746192).

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

12360080304 is a wasteful number, since it uses less digits than its factorization.

12360080304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12360080304 its reverse (40308006321), we get a palindrome (52668086625).

The spelling of 12360080304 in words is "twelve billion, three hundred sixty million, eighty thousand, three hundred four".