121133824 has 72 divisors (see below), whose sum is σ = 288449280. Its totient is φ = 49640448.

The previous prime is 121133813. The next prime is 121133839. The reversal of 121133824 is 428331121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39747 + ... + 42685.

It is an arithmetic number, because the mean of its divisors is an integer number (4006240).

Almost surely, 2^121133824 is an apocalyptic number.

121133824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

121133824 is an abundant number, since it is smaller than the sum of its proper divisors (167315456).

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

121133824 is an equidigital number, since it uses as much as digits as its factorization.

121133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2971 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 121133824 is about 11006.0812281211. The cubic root of 121133824 is about 494.7910201753.

Adding to 121133824 its reverse (428331121), we get a palindrome (549464945).

The spelling of 121133824 in words is "one hundred twenty-one million, one hundred thirty-three thousand, eight hundred twenty-four".