16005033121 has 81 divisors (see below), whose sum is σ = 21552472179. Its totient is φ = 11841429600.

The previous prime is 16005033103. The next prime is 16005033133. The reversal of 16005033121 is 12133050061.

It is a happy number.

The square root of 16005033121 is 126511.

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

It can be written as a sum of positive squares in only one way, i.e., 11537982225 + 4467050896 = 107415^2 + 66836^2 .

It is not a de Polignac number, because 16005033121 - 2¹⁹ = 16004508833 is a prime.

It is a super-2 number, since 2×16005033121² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16005033092 and 16005033101.

It is not an unprimeable number, because it can be changed into a prime (16005033151) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 301981731 + ... + 301981783.

Almost surely, 2^16005033121 is an apocalyptic number.

16005033121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16005033121 is the 126511-st square number.

16005033121 is the 63256-th centered octagonal number.

It is an amenable number.

16005033121 is a deficient number, since it is larger than the sum of its proper divisors (5547439058).

16005033121 is an equidigital number, since it uses as much as digits as its factorization.

16005033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 16005033121 its reverse (12133050061), we get a palindrome (28138083182).

The spelling of 16005033121 in words is "sixteen billion, five million, thirty-three thousand, one hundred twenty-one".