Search a number
-
+
12025504000000 = 211562316339
BaseRepresentation
bin1010111011111110011111…
…1001001110100000000000
31120120121221001100112122001
42232333213321032200000
53034011213011000000
641324235033153344
72350546125310441
oct256774771164000
946517831315561
1012025504000000
113916a9555a557
121422758b5b854
1369300047ba4a
142d8074c7d2c8
1515cc26e9b46a
hexaefe7e4e800

12025504000000 has 336 divisors, whose sum is σ = 31364739151200. Its totient is φ = 4600780800000.

The previous prime is 12025503999959. The next prime is 12025504000019. The reversal of 12025504000000 is 40552021.

It is a super-2 number, since 2×120255040000002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 735991831 + ... + 736008169.

It is an arithmetic number, because the mean of its divisors is an integer number (93347437950).

Almost surely, 212025504000000 is an apocalyptic number.

12025504000000 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 12025504000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682369575600).

12025504000000 is an abundant number, since it is smaller than the sum of its proper divisors (19339235151200).

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

12025504000000 is an frugal number, since it uses more digits than its factorization.

12025504000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16414 (or 16369 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 12025504000000 its reverse (40552021), we get a palindrome (12025544552021).

The spelling of 12025504000000 in words is "twelve trillion, twenty-five billion, five hundred four million", and thus it is an aban number.