11949200 has 30 divisors (see below), whose sum is σ = 28708914. Its totient is φ = 4779520.

The previous prime is 11949199. The next prime is 11949239. The reversal of 11949200 is 294911.

It can be written as a sum of positive squares in 3 ways, for example, as 3211264 + 8737936 = 1792^2 + 2956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11949200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14537 + ... + 15336.

Almost surely, 2^11949200 is an apocalyptic number.

11949200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11949200 is an abundant number, since it is smaller than the sum of its proper divisors (16759714).

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

11949200 is a wasteful number, since it uses less digits than its factorization.

11949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29891 (or 29880 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 11949200 is about 3456.7614901812. The cubic root of 11949200 is about 228.6193277592.

The spelling of 11949200 in words is "eleven million, nine hundred forty-nine thousand, two hundred".