11969200 has 60 divisors (see below), whose sum is σ = 30029328. Its totient is φ = 4576000.

The previous prime is 11969189. The next prime is 11969201. The reversal of 11969200 is 296911.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11969201) 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, 8550 + ... + 9850.

Almost surely, 2^11969200 is an apocalyptic number.

11969200 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 11969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014664).

11969200 is an abundant number, since it is smaller than the sum of its proper divisors (18060128).

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

11969200 is a wasteful number, since it uses less digits than its factorization.

11969200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 11969200 is about 3459.6531618068. The cubic root of 11969200 is about 228.7468073648.

The spelling of 11969200 in words is "eleven million, nine hundred sixty-nine thousand, two hundred".