1344121200 has 180 divisors, whose sum is σ = 4791015528. Its totient is φ = 348710400.

The previous prime is 1344121193. The next prime is 1344121213. The reversal of 1344121200 is 21214431.

1344121200 is a `hidden beast` number, since 1 + 3 + 441 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128155 + ... + 138245.

Almost surely, 2^1344121200 is an apocalyptic number.

1344121200 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 1344121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395507764).

1344121200 is an abundant number, since it is smaller than the sum of its proper divisors (3446894328).

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

1344121200 is a wasteful number, since it uses less digits than its factorization.

1344121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1344121200 is about 36662.2585229006. The cubic root of 1344121200 is about 1103.6028423341.

Adding to 1344121200 its reverse (21214431), we get a palindrome (1365335631).

The spelling of 1344121200 in words is "one billion, three hundred forty-four million, one hundred twenty-one thousand, two hundred".