11925000 has 144 divisors (see below), whose sum is σ = 41130180. Its totient is φ = 3120000.

The previous prime is 11924999. The next prime is 11925013. The reversal of 11925000 is 52911.

11925000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 675684 + 11249316 = 822^2 + 3354^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224974 + ... + 225026.

Almost surely, 2^11925000 is an apocalyptic number.

11925000 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 11925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565090).

11925000 is an abundant number, since it is smaller than the sum of its proper divisors (29205180).

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

11925000 is an equidigital number, since it uses as much as digits as its factorization.

11925000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 11925000 is about 3453.2593299664. The cubic root of 11925000 is about 228.4648871027.

Adding to 11925000 its reverse (52911), we get a palindrome (11977911).

The spelling of 11925000 in words is "eleven million, nine hundred twenty-five thousand".