1101122120 has 48 divisors (see below), whose sum is σ = 2882023740. Its totient is φ = 377526912.

The previous prime is 1101122107. The next prime is 1101122137. The reversal of 1101122120 is 212211011.

It can be written as a sum of positive squares in 2 ways, for example, as 1079648164 + 21473956 = 32858^2 + 4634^2 .

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, 278939 + ... + 282858.

Almost surely, 2^1101122120 is an apocalyptic number.

1101122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101122120 is an abundant number, since it is smaller than the sum of its proper divisors (1780901620).

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

1101122120 is a wasteful number, since it uses less digits than its factorization.

1101122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561822 (or 561811 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1101122120 is about 33183.1601870587. The cubic root of 1101122120 is about 1032.6310089436.

Adding to 1101122120 its reverse (212211011), we get a palindrome (1313333131).

The spelling of 1101122120 in words is "one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".