1075120000 has 160 divisors (see below), whose sum is σ = 2724440400. Its totient is φ = 422400000.

The previous prime is 1075119949. The next prime is 1075120009. The reversal of 1075120000 is 215701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7119925 + ... + 7120075.

Almost surely, 2^1075120000 is an apocalyptic number.

1075120000 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 1075120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362220200).

1075120000 is an abundant number, since it is smaller than the sum of its proper divisors (1649320400).

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

1075120000 is an frugal number, since it uses more digits than its factorization.

1075120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1075120000 is about 32789.0225532876. The cubic root of 1075120000 is about 1024.4379230430.

Adding to 1075120000 its reverse (215701), we get a palindrome (1075335701).

The spelling of 1075120000 in words is "one billion, seventy-five million, one hundred twenty thousand".