11431301200 has 240 divisors, whose sum is σ = 31335672960. Its totient is φ = 3969280000.

The previous prime is 11431301197. The next prime is 11431301201. The reversal of 11431301200 is 210313411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11431301201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12887157 + ... + 12888043.

It is an arithmetic number, because the mean of its divisors is an integer number (130565304).

Almost surely, 2^11431301200 is an apocalyptic number.

11431301200 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 11431301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667836480).

11431301200 is an abundant number, since it is smaller than the sum of its proper divisors (19904371760).

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

11431301200 is a wasteful number, since it uses less digits than its factorization.

11431301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11431301200 its reverse (210313411), we get a palindrome (11641614611).

The spelling of 11431301200 in words is "eleven billion, four hundred thirty-one million, three hundred one thousand, two hundred".