1121120 has 144 divisors (see below), whose sum is σ = 3619728. Its totient is φ = 322560.

The previous prime is 1121101. The next prime is 1121143. The reversal of 1121120 is 211211.

1121120 = T₂₉ + T₃₀ + ... + T₁₈₈.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1121098 and 1121107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86234 + ... + 86246.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2^1121120 is an apocalyptic number.

1121120 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 1121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864).

1121120 is an abundant number, since it is smaller than the sum of its proper divisors (2498608).

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

1121120 is a wasteful number, since it uses less digits than its factorization.

1121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1121120 is about 1058.8295424666. The cubic root of 1121120 is about 103.8844871319.

Adding to 1121120 its reverse (211211), we get a palindrome (1332331).

Subtracting from 1121120 its reverse (211211), we obtain a palindrome (909909).

It can be divided in two parts, 1 and 121120, that added together give a palindrome (121121).

The spelling of 1121120 in words is "one million, one hundred twenty-one thousand, one hundred twenty".