1311242400 has 216 divisors, whose sum is σ = 4979798460. Its totient is φ = 322744320.

The previous prime is 1311242363. The next prime is 1311242431. The reversal of 1311242400 is 42421131.

1311242400 is a `hidden beast` number, since 13 + 11 + 242 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 420578064 + 890664336 = 20508^2 + 29844^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86596 + ... + 100604.

Almost surely, 2^1311242400 is an apocalyptic number.

1311242400 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 1311242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489899230).

1311242400 is an abundant number, since it is smaller than the sum of its proper divisors (3668556060).

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

1311242400 is a wasteful number, since it uses less digits than its factorization.

1311242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14032 counting only the distinct ones).

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

The square root of 1311242400 is about 36211.0811768994. The cubic root of 1311242400 is about 1094.5299790476.

Adding to 1311242400 its reverse (42421131), we get a palindrome (1353663531).

The spelling of 1311242400 in words is "one billion, three hundred eleven million, two hundred forty-two thousand, four hundred".