121152 has 28 divisors (see below), whose sum is σ = 321056. Its totient is φ = 40320.

The previous prime is 121151. The next prime is 121157. The reversal of 121152 is 251121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121152.

It is not an unprimeable number, because it can be changed into a prime (121151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124 + ... + 507.

2¹²¹¹⁵² is an apocalyptic number.

121152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121152 is an abundant number, since it is smaller than the sum of its proper divisors (199904).

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

121152 is an equidigital number, since it uses as much as digits as its factorization.

121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 20, while the sum is 12.

The square root of 121152 is about 348.0689586849. The cubic root of 121152 is about 49.4815766558.

Adding to 121152 its reverse (251121), we get a palindrome (372273).

It can be divided in two parts, 12 and 1152, that multiplied together give a cube (13824 = 24³).

The spelling of 121152 in words is "one hundred twenty-one thousand, one hundred fifty-two".