1014981120 has 120 divisors (see below), whose sum is σ = 3515244876. Its totient is φ = 270655488.

The previous prime is 1014981119. The next prime is 1014981157. The reversal of 1014981120 is 211894101.

It can be written as a sum of positive squares in 2 ways, for example, as 1012766976 + 2214144 = 31824^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014 + ... + 45066.

Almost surely, 2^1014981120 is an apocalyptic number.

1014981120 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 1014981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757622438).

1014981120 is an abundant number, since it is smaller than the sum of its proper divisors (2500263756).

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

1014981120 is an equidigital number, since it uses as much as digits as its factorization.

1014981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44082 (or 44063 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1014981120 is about 31858.7683377748. The cubic root of 1014981120 is about 1004.9689750577.

It can be divided in two parts, 1014981 and 120, that added together give a palindrome (1015101).

The spelling of 1014981120 in words is "one billion, fourteen million, nine hundred eighty-one thousand, one hundred twenty".