11741200 has 60 divisors (see below), whose sum is σ = 28541700. Its totient is φ = 4641280.

The previous prime is 11741189. The next prime is 11741227. The reversal of 11741200 is 214711.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 11723776 = 132^2 + 3424^2 .

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

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, 59502 + ... + 59698.

It is an arithmetic number, because the mean of its divisors is an integer number (475695).

Almost surely, 2^11741200 is an apocalyptic number.

11741200 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 11741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270850).

11741200 is an abundant number, since it is smaller than the sum of its proper divisors (16800500).

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

11741200 is a wasteful number, since it uses less digits than its factorization.

11741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 11741200 is about 3426.5434478495. The cubic root of 11741200 is about 227.2850281827.

Adding to 11741200 its reverse (214711), we get a palindrome (11955911).

The spelling of 11741200 in words is "eleven million, seven hundred forty-one thousand, two hundred".