1149120 has 224 divisors, whose sum is σ = 4876800. Its totient is φ = 248832.

The previous prime is 1149061. The next prime is 1149131. The reversal of 1149120 is 219411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1149093 and 1149102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60471 + ... + 60489.

2^1149120 is an apocalyptic number.

1149120 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 1149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438400).

1149120 is an abundant number, since it is smaller than the sum of its proper divisors (3727680).

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

1149120 is a wasteful number, since it uses less digits than its factorization.

1149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1149120 is about 1071.9701488381. The cubic root of 1149120 is about 104.7422248222.

It can be divided in two parts, 11491 and 20, that added together give a palindrome (11511).

The spelling of 1149120 in words is "one million, one hundred forty-nine thousand, one hundred twenty".