12254121440 has 192 divisors, whose sum is σ = 34319738880. Its totient is φ = 4084992000.

The previous prime is 12254121431. The next prime is 12254121469. The reversal of 12254121440 is 4412145221.

12254121440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030730 + ... + 1042550.

It is an arithmetic number, because the mean of its divisors is an integer number (178748640).

Almost surely, 2^12254121440 is an apocalyptic number.

12254121440 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 12254121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159869440).

12254121440 is an abundant number, since it is smaller than the sum of its proper divisors (22065617440).

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

12254121440 is a wasteful number, since it uses less digits than its factorization.

12254121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11889 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 12254121440 its reverse (4412145221), we get a palindrome (16666266661).

It can be divided in two parts, 12 and 254121440, that added together give a palindrome (254121452).

The spelling of 12254121440 in words is "twelve billion, two hundred fifty-four million, one hundred twenty-one thousand, four hundred forty".