4033112244121 has 15 divisors (see below), whose sum is σ = 4285795491291. Its totient is φ = 3795324100416.

The previous prime is 4033112244107. The next prime is 4033112244137. The reversal of 4033112244121 is 1214422113304.

It is a happy number.

The square root of 4033112244121 is 2008261.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 207880371721 + 3825231872400 = 455939^2 + 1955820^2 .

It is not a de Polignac number, because 4033112244121 - 2¹¹ = 4033112242073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4033112244121.

It is not an unprimeable number, because it can be changed into a prime (4033112244151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 580383955 + ... + 580390903.

Almost surely, 2^{4033112244121} is an apocalyptic number.

4033112244121 is the 2008261-st square number.

4033112244121 is the 1004131-st centered octagonal number.

It is an amenable number.

4033112244121 is a deficient number, since it is larger than the sum of its proper divisors (252683247170).

4033112244121 is an frugal number, since it uses more digits than its factorization.

4033112244121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13966 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4033112244121 its reverse (1214422113304), we get a palindrome (5247534357425).

The spelling of 4033112244121 in words is "four trillion, thirty-three billion, one hundred twelve million, two hundred forty-four thousand, one hundred twenty-one".