121024224 has 144 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 35942400.

The previous prime is 121024223. The next prime is 121024261. The reversal of 121024224 is 422420121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121024197 and 121024206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121024223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92374 + ... + 93674.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2^121024224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

121024224 is an abundant number, since it is smaller than the sum of its proper divisors (262857456).

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

121024224 is a wasteful number, since it uses less digits than its factorization.

121024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 121024224 is about 11001.1010358055. The cubic root of 121024224 is about 494.6417487402.

Adding to 121024224 its reverse (422420121), we get a palindrome (543444345).

The spelling of 121024224 in words is "one hundred twenty-one million, twenty-four thousand, two hundred twenty-four".