1069125120 has 360 divisors, whose sum is σ = 4311748584. Its totient is φ = 244113408.

The previous prime is 1069125119. The next prime is 1069125133. The reversal of 1069125120 is 215219601.

1069125120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1069125120² = 2286057044430028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128487 + ... + 1129433.

Almost surely, 2^1069125120 is an apocalyptic number.

1069125120 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 1069125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155874292).

1069125120 is an abundant number, since it is smaller than the sum of its proper divisors (3242623464).

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

1069125120 is an equidigital number, since it uses as much as digits as its factorization.

1069125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1069125120 is about 32697.4788018893. The cubic root of 1069125120 is about 1022.5302808846.

The spelling of 1069125120 in words is "one billion, sixty-nine million, one hundred twenty-five thousand, one hundred twenty".