1317112800 has 144 divisors (see below), whose sum is σ = 4351721472. Its totient is φ = 345945600.

The previous prime is 1317112787. The next prime is 1317112817. The reversal of 1317112800 is 82117131.

It is a happy number.

It is a super-2 number, since 2×1317112800² = 3469572255847680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 156705 + ... + 164895.

It is an arithmetic number, because the mean of its divisors is an integer number (30220288).

Almost surely, 2^1317112800 is an apocalyptic number.

1317112800 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 1317112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175860736).

1317112800 is an abundant number, since it is smaller than the sum of its proper divisors (3034608672).

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

1317112800 is a wasteful number, since it uses less digits than its factorization.

1317112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1317112800 is about 36292.0487159378. The cubic root of 1317112800 is about 1096.1609421422.

Adding to 1317112800 its reverse (82117131), we get a palindrome (1399229931).

The spelling of 1317112800 in words is "one billion, three hundred seventeen million, one hundred twelve thousand, eight hundred".