10821120 has 80 divisors (see below), whose sum is σ = 34618320. Its totient is φ = 2883584.

The previous prime is 10821101. The next prime is 10821121. The reversal of 10821120 is 2112801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10821120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6976 + ... + 8384.

It is an arithmetic number, because the mean of its divisors is an integer number (432729).

Almost surely, 2^10821120 is an apocalyptic number.

10821120 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 10821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309160).

10821120 is an abundant number, since it is smaller than the sum of its proper divisors (23797200).

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

10821120 is an equidigital number, since it uses as much as digits as its factorization.

10821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10821120 is about 3289.5470812864. The cubic root of 10821120 is about 221.1858826625.

Adding to 10821120 its reverse (2112801), we get a palindrome (12933921).

The spelling of 10821120 in words is "ten million, eight hundred twenty-one thousand, one hundred twenty".