1016245120 has 128 divisors (see below), whose sum is σ = 2674464480. Its totient is φ = 369233920.

The previous prime is 1016245117. The next prime is 1016245121. The reversal of 1016245120 is 215426101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1016245091 and 1016245100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016245121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851244 + ... + 852436.

Almost surely, 2^1016245120 is an apocalyptic number.

1016245120 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 1016245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337232240).

1016245120 is an abundant number, since it is smaller than the sum of its proper divisors (1658219360).

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

1016245120 is an equidigital number, since it uses as much as digits as its factorization.

1016245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1016245120 is about 31878.5997183063. The cubic root of 1016245120 is about 1005.3859791484.

The spelling of 1016245120 in words is "one billion, sixteen million, two hundred forty-five thousand, one hundred twenty".