20241285120 has 768 divisors, whose sum is σ = 83914159680. Its totient is φ = 4416602112.

The previous prime is 20241285107. The next prime is 20241285149. The reversal of 20241285120 is 2158214202.

20241285120 is a `hidden beast` number, since 2 + 0 + 24 + 128 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381911014 + ... + 381911066.

Almost surely, 2^20241285120 is an apocalyptic number.

20241285120 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 20241285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41957079840).

20241285120 is an abundant number, since it is smaller than the sum of its proper divisors (63672874560).

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

20241285120 is an equidigital number, since it uses as much as digits as its factorization.

20241285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 20241285120 its reverse (2158214202), we get a palindrome (22399499322).

The spelling of 20241285120 in words is "twenty billion, two hundred forty-one million, two hundred eighty-five thousand, one hundred twenty".