12105452154400 has 144 divisors (see below), whose sum is σ = 32256387209088. Its totient is φ = 4399611264000.

The previous prime is 12105452154377. The next prime is 12105452154413. The reversal of 12105452154400 is 445125450121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16007209 + ... + 16746391.

It is an arithmetic number, because the mean of its divisors is an integer number (224002688952).

Almost surely, 2^{12105452154400} is an apocalyptic number.

12105452154400 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 12105452154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128193604544).

12105452154400 is an abundant number, since it is smaller than the sum of its proper divisors (20150935054688).

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

12105452154400 is a wasteful number, since it uses less digits than its factorization.

12105452154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741075 (or 741062 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 12105452154400 in words is "twelve trillion, one hundred five billion, four hundred fifty-two million, one hundred fifty-four thousand, four hundred".