11912000 has 56 divisors (see below), whose sum is σ = 29519880. Its totient is φ = 4761600.

The previous prime is 11911987. The next prime is 11912051. The reversal of 11912000 is 21911.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 10394176 = 1232^2 + 3224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7256 + ... + 8744.

Almost surely, 2^11912000 is an apocalyptic number.

11912000 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 11912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759940).

11912000 is an abundant number, since it is smaller than the sum of its proper divisors (17607880).

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

11912000 is an equidigital number, since it uses as much as digits as its factorization.

11912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 11912000 is about 3451.3765369777. The cubic root of 11912000 is about 228.3818368316.

Adding to 11912000 its reverse (21911), we get a palindrome (11933911).

The spelling of 11912000 in words is "eleven million, nine hundred twelve thousand".