4121128272 has 80 divisors (see below), whose sum is σ = 11243159360. Its totient is φ = 1297161216.

The previous prime is 4121128241. The next prime is 4121128279. The reversal of 4121128272 is 2728211214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121128279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278238 + ... + 292674.

It is an arithmetic number, because the mean of its divisors is an integer number (140539492).

Almost surely, 2^4121128272 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 4121128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621579680).

4121128272 is an abundant number, since it is smaller than the sum of its proper divisors (7122031088).

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

4121128272 is a wasteful number, since it uses less digits than its factorization.

4121128272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780 (or 14774 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 4121128272 is about 64196.0144557277. The cubic root of 4121128272 is about 1603.2652422543.

Adding to 4121128272 its reverse (2728211214), we get a palindrome (6849339486).

The spelling of 4121128272 in words is "four billion, one hundred twenty-one million, one hundred twenty-eight thousand, two hundred seventy-two".