12141723729800 has 288 divisors, whose sum is σ = 34188004986120. Its totient is φ = 3994873344000.

The previous prime is 12141723729673. The next prime is 12141723729823. The reversal of 12141723729800 is 892732714121.

12141723729800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5741764855204 + 6399958874596 = 2396198^2 + 2529814^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26240450 + ... + 26699150.

Almost surely, 2^{12141723729800} is an apocalyptic number.

12141723729800 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 12141723729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094002493060).

12141723729800 is an abundant number, since it is smaller than the sum of its proper divisors (22046281256320).

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

12141723729800 is a wasteful number, since it uses less digits than its factorization.

12141723729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458841 (or 458825 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 12141723729800 in words is "twelve trillion, one hundred forty-one billion, seven hundred twenty-three million, seven hundred twenty-nine thousand, eight hundred".