11561200 has 60 divisors (see below), whose sum is σ = 31751440. Its totient is φ = 3962880.

The previous prime is 11561197. The next prime is 11561213. The reversal of 11561200 is 216511.

It is a happy number.

It is a super-2 number, since 2×11561200² = 267322690880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736 + ... + 4864.

Almost surely, 2^11561200 is an apocalyptic number.

11561200 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 11561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15875720).

11561200 is an abundant number, since it is smaller than the sum of its proper divisors (20190240).

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

11561200 is a wasteful number, since it uses less digits than its factorization.

11561200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 11561200 is about 3400.1764660088. The cubic root of 11561200 is about 226.1175674615.

Adding to 11561200 its reverse (216511), we get a palindrome (11777711).

The spelling of 11561200 in words is "eleven million, five hundred sixty-one thousand, two hundred".