1314121200 has 180 divisors, whose sum is σ = 4897063800. Its totient is φ = 300357120.

The previous prime is 1314121189. The next prime is 1314121247. The reversal of 1314121200 is 21214131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1314121200.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 47626 + ... + 69974.

It is an arithmetic number, because the mean of its divisors is an integer number (27205910).

Almost surely, 2^1314121200 is an apocalyptic number.

1314121200 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 1314121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448531900).

1314121200 is an abundant number, since it is smaller than the sum of its proper divisors (3582942600).

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

1314121200 is a wasteful number, since it uses less digits than its factorization.

1314121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22384 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1314121200 is about 36250.8096461307. The cubic root of 1314121200 is about 1095.3303979939.

Adding to 1314121200 its reverse (21214131), we get a palindrome (1335335331).

The spelling of 1314121200 in words is "one billion, three hundred fourteen million, one hundred twenty-one thousand, two hundred".