11413111200 has 72 divisors (see below), whose sum is σ = 37149684768. Its totient is φ = 3043495680.

The previous prime is 11413111189. The next prime is 11413111207. The reversal of 11413111200 is 211131411.

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 11413111200.

It is not an unprimeable number, because it can be changed into a prime (11413111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2375332 + ... + 2380131.

It is an arithmetic number, because the mean of its divisors is an integer number (515967844).

Almost surely, 2^11413111200 is an apocalyptic number.

11413111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413111200 is an abundant number, since it is smaller than the sum of its proper divisors (25736573568).

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

11413111200 is a wasteful number, since it uses less digits than its factorization.

11413111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755486 (or 4755473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11413111200 its reverse (211131411), we get a palindrome (11624242611).

The spelling of 11413111200 in words is "eleven billion, four hundred thirteen million, one hundred eleven thousand, two hundred".