1344253123200 has 384 divisors, whose sum is σ = 4772402046720. Its totient is φ = 330602987520.

The previous prime is 1344253123189. The next prime is 1344253123229. The reversal of 1344253123200 is 23213524431.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 165605542 + ... + 165613658.

It is an arithmetic number, because the mean of its divisors is an integer number (12428130330).

Almost surely, 2^{1344253123200} is an apocalyptic number.

1344253123200 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 1344253123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386201023360).

1344253123200 is an abundant number, since it is smaller than the sum of its proper divisors (3428148923520).

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

1344253123200 is a wasteful number, since it uses less digits than its factorization.

1344253123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9484 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1344253123200 its reverse (23213524431), we get a palindrome (1367466647631).

The spelling of 1344253123200 in words is "one trillion, three hundred forty-four billion, two hundred fifty-three million, one hundred twenty-three thousand, two hundred".