1201111120 has 80 divisors (see below), whose sum is σ = 3144798720. Its totient is φ = 422668800.

The previous prime is 1201111117. The next prime is 1201111123. The reversal of 1201111120 is 211111021.

It is an interprime number because it is at equal distance from previous prime (1201111117) and next prime (1201111123).

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201111097 and 1201111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5266 + ... + 49294.

It is an arithmetic number, because the mean of its divisors is an integer number (39309984).

Almost surely, 2^1201111120 is an apocalyptic number.

1201111120 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 1201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572399360).

1201111120 is an abundant number, since it is smaller than the sum of its proper divisors (1943687600).

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

1201111120 is a wasteful number, since it uses less digits than its factorization.

1201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44084 (or 44078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1201111120 is about 34657.0500764275. The cubic root of 1201111120 is about 1062.9864516680.

Adding to 1201111120 its reverse (211111021), we get a palindrome (1412222141).

Subtracting from 1201111120 its reverse (211111021), we obtain a palindrome (990000099).

The spelling of 1201111120 in words is "one billion, two hundred one million, one hundred eleven thousand, one hundred twenty".