1101123120 has 80 divisors (see below), whose sum is σ = 3439636992. Its totient is φ = 291383040.

The previous prime is 1101123119. The next prime is 1101123151. The reversal of 1101123120 is 213211011.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101123096 and 1101123105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13929 + ... + 48951.

Almost surely, 2^1101123120 is an apocalyptic number.

1101123120 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 1101123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719818496).

1101123120 is an abundant number, since it is smaller than the sum of its proper divisors (2338513872).

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

1101123120 is a wasteful number, since it uses less digits than its factorization.

1101123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35170 (or 35164 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1101123120 is about 33183.1752549391. The cubic root of 1101123120 is about 1032.6313215431.

Adding to 1101123120 its reverse (213211011), we get a palindrome (1314334131).

The spelling of 1101123120 in words is "one billion, one hundred one million, one hundred twenty-three thousand, one hundred twenty".