4120561224 has 96 divisors (see below), whose sum is σ = 12215494200. Its totient is φ = 1247063040.

The previous prime is 4120561189. The next prime is 4120561231. The reversal of 4120561224 is 4221650214.

4120561224 is a `hidden beast` number, since 4 + 1 + 20 + 5 + 612 + 24 = 666.

4120561224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 661004100 + 3459557124 = 25710^2 + 58818^2 .

It is a super-3 number, since 3×4120561224³ (a number of 30 digits) contains 333 as substring.

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, 21012 + ... + 93180.

Almost surely, 2^4120561224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120561224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107747100).

4120561224 is an abundant number, since it is smaller than the sum of its proper divisors (8094932976).

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

4120561224 is a wasteful number, since it uses less digits than its factorization.

4120561224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72255 (or 72248 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4120561224 is about 64191.5977679322. The cubic root of 4120561224 is about 1603.1917049453.

The spelling of 4120561224 in words is "four billion, one hundred twenty million, five hundred sixty-one thousand, two hundred twenty-four".