1145120 has 48 divisors (see below), whose sum is σ = 2871288. Its totient is φ = 430080.

The previous prime is 1145107. The next prime is 1145129. The reversal of 1145120 is 215411.

It can be written as a sum of positive squares in 4 ways, for example, as 698896 + 446224 = 836^2 + 668^2 .

It is a super-2 number, since 2×1145120² = 2622599628800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145095 and 1145104.

It is not an unprimeable number, because it can be changed into a prime (1145129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2510 + ... + 2930.

2^1145120 is an apocalyptic number.

1145120 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 1145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435644).

1145120 is an abundant number, since it is smaller than the sum of its proper divisors (1726168).

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

1145120 is a wasteful number, since it uses less digits than its factorization.

1145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1145120 is about 1070.1027988002. The cubic root of 1145120 is about 104.6205502728.

The spelling of 1145120 in words is "one million, one hundred forty-five thousand, one hundred twenty".