Search a number
-
+
12450240000 = 29335411131
BaseRepresentation
bin10111001100001011…
…11001011000000000
31012010200022201112000
423212011321120000
5200444230140000
65415231504000
7620346202542
oct134605713000
935120281460
1012450240000
115309921650
1224b5688000
131235516823
1486173d692
154cd05a000
hex2e6179600

12450240000 has 800 divisors, whose sum is σ = 50622295680. Its totient is φ = 2995200000.

The previous prime is 12450239941. The next prime is 12450240013. The reversal of 12450240000 is 4205421.

12450240000 is a `hidden beast` number, since 124 + 502 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95039935 + ... + 95040065.

Almost surely, 212450240000 is an apocalyptic number.

12450240000 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 12450240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25311147840).

12450240000 is an abundant number, since it is smaller than the sum of its proper divisors (38172055680).

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

12450240000 is an equidigital number, since it uses as much as digits as its factorization.

12450240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12450240000 its reverse (4205421), we get a palindrome (12454445421).

The spelling of 12450240000 in words is "twelve billion, four hundred fifty million, two hundred forty thousand".