11200252144000 has 64 divisors (see below), whose sum is σ = 27846626932800. Its totient is φ = 4480100851200.

The previous prime is 11200252143989. The next prime is 11200252144063. The reversal of 11200252144000 is 44125200211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349991880 + ... + 350023879.

It is an arithmetic number, because the mean of its divisors is an integer number (435103545825).

Almost surely, 2^{11200252144000} is an apocalyptic number.

11200252144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200252144000 is an abundant number, since it is smaller than the sum of its proper divisors (16646374788800).

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

11200252144000 is an frugal number, since it uses more digits than its factorization.

11200252144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700015788 (or 700015766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 11200252144000 its reverse (44125200211), we get a palindrome (11244377344211).

The spelling of 11200252144000 in words is "eleven trillion, two hundred billion, two hundred fifty-two million, one hundred forty-four thousand".