1100212120 has 128 divisors (see below), whose sum is σ = 3014444160. Its totient is φ = 352788480.

The previous prime is 1100212097. The next prime is 1100212129. The reversal of 1100212120 is 212120011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100212097 and 1100212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100212129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860922 + ... + 862198.

It is an arithmetic number, because the mean of its divisors is an integer number (23550345).

Almost surely, 2^1100212120 is an apocalyptic number.

1100212120 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 1100212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507222080).

1100212120 is an abundant number, since it is smaller than the sum of its proper divisors (1914232040).

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

1100212120 is a wasteful number, since it uses less digits than its factorization.

1100212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1100212120 is about 33169.4455787250. The cubic root of 1100212120 is about 1032.3464649063.

Adding to 1100212120 its reverse (212120011), we get a palindrome (1312332131).

The spelling of 1100212120 in words is "one billion, one hundred million, two hundred twelve thousand, one hundred twenty".