12253143141400 has 192 divisors, whose sum is σ = 34315555449600. Its totient is φ = 3974904368640.

The previous prime is 12253143141391. The next prime is 12253143141433. The reversal of 12253143141400 is 414134135221.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 20641542 + ... + 21226858.

It is an arithmetic number, because the mean of its divisors is an integer number (178726851300).

Almost surely, 2^{12253143141400} is an apocalyptic number.

12253143141400 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 12253143141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157777724800).

12253143141400 is an abundant number, since it is smaller than the sum of its proper divisors (22062412308200).

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

12253143141400 is a wasteful number, since it uses less digits than its factorization.

12253143141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586146 (or 586137 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 12253143141400 its reverse (414134135221), we get a palindrome (12667277276621).

The spelling of 12253143141400 in words is "twelve trillion, two hundred fifty-three billion, one hundred forty-three million, one hundred forty-one thousand, four hundred".