121145024 has 224 divisors, whose sum is σ = 338644992. Its totient is φ = 41472000.

The previous prime is 121145021. The next prime is 121145041. The reversal of 121145024 is 420541121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×121145024³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121144987 and 121145005.

It is not an unprimeable number, because it can be changed into a prime (121145021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1985954 + ... + 1986014.

It is an arithmetic number, because the mean of its divisors is an integer number (1511808).

Almost surely, 2^121145024 is an apocalyptic number.

121145024 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 121145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169322496).

121145024 is an abundant number, since it is smaller than the sum of its proper divisors (217499968).

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

121145024 is a wasteful number, since it uses less digits than its factorization.

121145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 121145024 is about 11006.5900259799. The cubic root of 121145024 is about 494.8062691192.

Adding to 121145024 its reverse (420541121), we get a palindrome (541686145).

The spelling of 121145024 in words is "one hundred twenty-one million, one hundred forty-five thousand, twenty-four".