1288100 has 36 divisors (see below), whose sum is σ = 3051888. Its totient is φ = 468000.

The previous prime is 1288099. The next prime is 1288103. The reversal of 1288100 is 18821.

It is a super-2 number, since 2×1288100² = 3318403220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1288103) by changing a digit.

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, 515 + ... + 1685.

2^1288100 is an apocalyptic number.

1288100 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 1288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525944).

1288100 is an abundant number, since it is smaller than the sum of its proper divisors (1763788).

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

1288100 is a wasteful number, since it uses less digits than its factorization.

1288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

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

The square root of 1288100 is about 1134.9449325848. The cubic root of 1288100 is about 108.8052522335.

It can be divided in two parts, 128 and 8100, that added together give a palindrome (8228).

The spelling of 1288100 in words is "one million, two hundred eighty-eight thousand, one hundred".