12025117440 has 756 divisors, whose sum is σ = 50427924624. Its totient is φ = 2738147328.

The previous prime is 12025117411. The next prime is 12025117441. The reversal of 12025117440 is 4471152021.

12025117440 is a `hidden beast` number, since 1 + 202 + 5 + 1 + 17 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (12025117441) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 45722749 + ... + 45723011.

It is an arithmetic number, because the mean of its divisors is an integer number (66703604).

Almost surely, 2^12025117440 is an apocalyptic number.

12025117440 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 12025117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25213962312).

12025117440 is an abundant number, since it is smaller than the sum of its proper divisors (38402807184).

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

12025117440 is an frugal number, since it uses more digits than its factorization.

12025117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 12025117440 its reverse (4471152021), we get a palindrome (16496269461).

The spelling of 12025117440 in words is "twelve billion, twenty-five million, one hundred seventeen thousand, four hundred forty".