12305331541200 has 120 divisors (see below), whose sum is σ = 39432693780000. Its totient is φ = 3280205089280.

The previous prime is 12305331541199. The next prime is 12305331541273. The reversal of 12305331541200 is 214513350321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339126 + ... + 5138474.

It is an arithmetic number, because the mean of its divisors is an integer number (328605781500).

Almost surely, 2^{12305331541200} is an apocalyptic number.

12305331541200 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 12305331541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19716346890000).

12305331541200 is an abundant number, since it is smaller than the sum of its proper divisors (27127362238800).

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

12305331541200 is a wasteful number, since it uses less digits than its factorization.

12305331541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802069 (or 3802058 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 12305331541200 its reverse (214513350321), we get a palindrome (12519844891521).

The spelling of 12305331541200 in words is "twelve trillion, three hundred five billion, three hundred thirty-one million, five hundred forty-one thousand, two hundred".