4132120224 has 96 divisors (see below), whose sum is σ = 11097051840. Its totient is φ = 1345882112.

The previous prime is 4132120211. The next prime is 4132120229. The reversal of 4132120224 is 4220212314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4132120224.

It is not an unprimeable number, because it can be changed into a prime (4132120229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977764 + ... + 981980.

It is an arithmetic number, because the mean of its divisors is an integer number (115594290).

Almost surely, 2^4132120224 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 4132120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548525920).

4132120224 is an abundant number, since it is smaller than the sum of its proper divisors (6964931616).

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

4132120224 is a wasteful number, since it uses less digits than its factorization.

4132120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4132120224 is about 64281.5698625975. The cubic root of 4132120224 is about 1604.6893967134.

Adding to 4132120224 its reverse (4220212314), we get a palindrome (8352332538).

The spelling of 4132120224 in words is "four billion, one hundred thirty-two million, one hundred twenty thousand, two hundred twenty-four".