4512561120 has 144 divisors (see below), whose sum is σ = 15464200752. Its totient is φ = 1198264320.

The previous prime is 4512561049. The next prime is 4512561149. The reversal of 4512561120 is 211652154.

4512561120 is a `hidden beast` number, since 4 + 5 + 1 + 25 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340539 + ... + 353541.

It is an arithmetic number, because the mean of its divisors is an integer number (107390283).

Almost surely, 2^4512561120 is an apocalyptic number.

4512561120 is a gapful number since it is divisible by the number (40) 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 4512561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732100376).

4512561120 is an abundant number, since it is smaller than the sum of its proper divisors (10951639632).

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

4512561120 is a wasteful number, since it uses less digits than its factorization.

4512561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4512561120 is about 67175.5991413549. The cubic root of 4512561120 is about 1652.4983419564.

The spelling of 4512561120 in words is "four billion, five hundred twelve million, five hundred sixty-one thousand, one hundred twenty".