12141535432400 has 240 divisors, whose sum is σ = 33178416445440. Its totient is φ = 4229287372800.

The previous prime is 12141535432381. The next prime is 12141535432417. The reversal of 12141535432400 is 423453514121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15830582 + ... + 16579818.

It is an arithmetic number, because the mean of its divisors is an integer number (138243401856).

Almost surely, 2^{12141535432400} is an apocalyptic number.

12141535432400 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 12141535432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589208222720).

12141535432400 is an abundant number, since it is smaller than the sum of its proper divisors (21036881013040).

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

12141535432400 is a wasteful number, since it uses less digits than its factorization.

12141535432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749422 (or 749411 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 12141535432400 its reverse (423453514121), we get a palindrome (12564988946521).

The spelling of 12141535432400 in words is "twelve trillion, one hundred forty-one billion, five hundred thirty-five million, four hundred thirty-two thousand, four hundred".