11412313200 has 180 divisors, whose sum is σ = 39997288968. Its totient is φ = 3013056000.

The previous prime is 11412313193. The next prime is 11412313217. The reversal of 11412313200 is 231321411.

11412313200 is a `hidden beast` number, since 114 + 1 + 231 + 320 + 0 = 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, 347907 + ... + 379293.

Almost surely, 2^11412313200 is an apocalyptic number.

11412313200 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 11412313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998644484).

11412313200 is an abundant number, since it is smaller than the sum of its proper divisors (28584975768).

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

11412313200 is a wasteful number, since it uses less digits than its factorization.

11412313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31512 (or 31498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11412313200 its reverse (231321411), we get a palindrome (11643634611).

The spelling of 11412313200 in words is "eleven billion, four hundred twelve million, three hundred thirteen thousand, two hundred".