24121041345120 has 192 divisors, whose sum is σ = 77036886743040. Its totient is φ = 6343112755200.

The previous prime is 24121041345097. The next prime is 24121041345139. The reversal of 24121041345120 is 2154314012142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30744925 + ... + 31519715.

It is an arithmetic number, because the mean of its divisors is an integer number (401233785120).

Almost surely, 2^{24121041345120} is an apocalyptic number.

24121041345120 is a gapful number since it is divisible by the number (20) 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 24121041345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38518443371520).

24121041345120 is an abundant number, since it is smaller than the sum of its proper divisors (52915845397920).

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

24121041345120 is a wasteful number, since it uses less digits than its factorization.

24121041345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775709 (or 775701 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 24121041345120 its reverse (2154314012142), we get a palindrome (26275355357262).

The spelling of 24121041345120 in words is "twenty-four trillion, one hundred twenty-one billion, forty-one million, three hundred forty-five thousand, one hundred twenty".