11882500 has 90 divisors (see below), whose sum is σ = 30538662. Its totient is φ = 4032000.

The previous prime is 11882483. The next prime is 11882503. The reversal of 11882500 is 528811.

It can be written as a sum of positive squares in 5 ways, for example, as 4955076 + 6927424 = 2226^2 + 2632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11882503) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122452 + ... + 122548.

Almost surely, 2^11882500 is an apocalyptic number.

11882500 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 11882500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269331).

11882500 is an abundant number, since it is smaller than the sum of its proper divisors (18656162).

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

11882500 is an equidigital number, since it uses as much as digits as its factorization.

11882500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 11882500 is about 3447.1002306286. The cubic root of 11882500 is about 228.1931522153.

The spelling of 11882500 in words is "eleven million, eight hundred eighty-two thousand, five hundred".