11200512 has 48 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3731456.

The previous prime is 11200499. The next prime is 11200531. The reversal of 11200512 is 21500211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5233 + ... + 7055.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^11200512 is an apocalyptic number.

11200512 is a gapful number since it is divisible by the number (12) 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 11200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11200512 is an abundant number, since it is smaller than the sum of its proper divisors (18676608).

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

11200512 is an equidigital number, since it uses as much as digits as its factorization.

11200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11200512 is about 3346.7165998931. The cubic root of 11200512 is about 223.7411977021.

Adding to 11200512 its reverse (21500211), we get a palindrome (32700723).

The spelling of 11200512 in words is "eleven million, two hundred thousand, five hundred twelve".