11825121 has 48 divisors (see below), whose sum is σ = 20487168. Its totient is φ = 5997600.

The previous prime is 11825119. The next prime is 11825141. The reversal of 11825121 is 12152811.

It is not a de Polignac number, because 11825121 - 2¹ = 11825119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11825141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114756 + ... + 114858.

It is an arithmetic number, because the mean of its divisors is an integer number (426816).

Almost surely, 2^11825121 is an apocalyptic number.

11825121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11825121 is a deficient number, since it is larger than the sum of its proper divisors (8662047).

11825121 is a wasteful number, since it uses less digits than its factorization.

11825121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its digits is 160, while the sum is 21.

The square root of 11825121 is about 3438.7673663684. The cubic root of 11825121 is about 227.8252546858.

Adding to 11825121 its reverse (12152811), we get a palindrome (23977932).

The spelling of 11825121 in words is "eleven million, eight hundred twenty-five thousand, one hundred twenty-one".