1042980120 has 576 divisors, whose sum is σ = 4384972800. Its totient is φ = 210263040.

The previous prime is 1042980077. The next prime is 1042980227. The reversal of 1042980120 is 210892401.

1042980120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13202241 + ... + 13202319.

It is an arithmetic number, because the mean of its divisors is an integer number (7612800).

Almost surely, 2^1042980120 is an apocalyptic number.

1042980120 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 1042980120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192486400).

1042980120 is an abundant number, since it is smaller than the sum of its proper divisors (3341992680).

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

1042980120 is a wasteful number, since it uses less digits than its factorization.

1042980120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1042980120 is about 32295.2027397259. The cubic root of 1042980120 is about 1014.1262170302.

The spelling of 1042980120 in words is "one billion, forty-two million, nine hundred eighty thousand, one hundred twenty".