24245120000000 has 448 divisors, whose sum is σ = 62088851208384. Its totient is φ = 9461760000000.

The previous prime is 24245119999993. The next prime is 24245120000009. The reversal of 24245120000000 is 2154242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24245120000009) 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, 27519999560 + ... + 27520000440.

It is an arithmetic number, because the mean of its divisors is an integer number (138591185733).

Almost surely, 2^{24245120000000} is an apocalyptic number.

24245120000000 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 24245120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31044425604192).

24245120000000 is an abundant number, since it is smaller than the sum of its proper divisors (37843731208384).

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

24245120000000 is an frugal number, since it uses more digits than its factorization.

24245120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 24245120000000 its reverse (2154242), we get a palindrome (24245122154242).

The spelling of 24245120000000 in words is "twenty-four trillion, two hundred forty-five billion, one hundred twenty million", and thus it is an aban number.