12088100 has 36 divisors (see below), whose sum is σ = 26495700. Its totient is φ = 4786560.

The previous prime is 12088093. The next prime is 12088127. The reversal of 12088100 is 188021.

It can be written as a sum of positive squares in 6 ways, for example, as 1577536 + 10510564 = 1256^2 + 3242^2 .

It is a super-2 number, since 2×12088100² = 292244323220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 10346 + ... + 11454.

Almost surely, 2^12088100 is an apocalyptic number.

12088100 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 12088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247850).

12088100 is an abundant number, since it is smaller than the sum of its proper divisors (14407600).

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

12088100 is a wasteful number, since it uses less digits than its factorization.

12088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 12088100 is about 3476.7945006859. The cubic root of 12088100 is about 229.5017569873.

The spelling of 12088100 in words is "twelve million, eighty-eight thousand, one hundred".