12041305310400 has 672 divisors, whose sum is σ = 40391881420800. Its totient is φ = 3140045291520.

The previous prime is 12041305310399. The next prime is 12041305310417. The reversal of 12041305310400 is 401350314021.

It is a happy number.

12041305310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16427428434 + ... + 16427429166.

It is an arithmetic number, because the mean of its divisors is an integer number (60106966400).

Almost surely, 2^{12041305310400} is an apocalyptic number.

12041305310400 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 12041305310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195940710400).

12041305310400 is an abundant number, since it is smaller than the sum of its proper divisors (28350576110400).

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

12041305310400 is a wasteful number, since it uses less digits than its factorization.

12041305310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12041305310400 its reverse (401350314021), we get a palindrome (12442655624421).

The spelling of 12041305310400 in words is "twelve trillion, forty-one billion, three hundred five million, three hundred ten thousand, four hundred".