121320024 has 128 divisors (see below), whose sum is σ = 371381760. Its totient is φ = 32237568.

The previous prime is 121320011. The next prime is 121320029. The reversal of 121320024 is 420023121.

121320024 = T₁₅₂ + T₁₅₃ + ... + T₉₀₀.

It is a junction number, because it is equal to n+sod(n) for n = 121319985 and 121320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121320029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305394 + ... + 305790.

It is an arithmetic number, because the mean of its divisors is an integer number (2901420).

Almost surely, 2^121320024 is an apocalyptic number.

121320024 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 121320024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185690880).

121320024 is an abundant number, since it is smaller than the sum of its proper divisors (250061736).

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

121320024 is a wasteful number, since it uses less digits than its factorization.

121320024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 121320024 is about 11014.5369398809. The cubic root of 121320024 is about 495.0444118911.

Adding to 121320024 its reverse (420023121), we get a palindrome (541343145).

The spelling of 121320024 in words is "one hundred twenty-one million, three hundred twenty thousand, twenty-four".