1014081120 has 360 divisors, whose sum is σ = 3883705056. Its totient is φ = 249080832.

The previous prime is 1014081073. The next prime is 1014081149. The reversal of 1014081120 is 211804101.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014081093 and 1014081102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2190009 + ... + 2190471.

Almost surely, 2^1014081120 is an apocalyptic number.

1014081120 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 1014081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941852528).

1014081120 is an abundant number, since it is smaller than the sum of its proper divisors (2869623936).

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

1014081120 is a wasteful number, since it uses less digits than its factorization.

1014081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1014081120 is about 31844.6403653739. The cubic root of 1014081120 is about 1004.6718465272.

Adding to 1014081120 its reverse (211804101), we get a palindrome (1225885221).

The spelling of 1014081120 in words is "one billion, fourteen million, eighty-one thousand, one hundred twenty".