20241320000 has 280 divisors, whose sum is σ = 55274931360. Its totient is φ = 7290880000.

The previous prime is 20241319991. The next prime is 20241320023. The reversal of 20241320000 is 2314202.

It is a super-2 number, since 2×20241320000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78759872 + ... + 78760128.

Almost surely, 2^20241320000 is an apocalyptic number.

20241320000 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 20241320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637465680).

20241320000 is an abundant number, since it is smaller than the sum of its proper divisors (35033611360).

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

20241320000 is a wasteful number, since it uses less digits than its factorization.

20241320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20241320000 its reverse (2314202), we get a palindrome (20243634202).

The spelling of 20241320000 in words is "twenty billion, two hundred forty-one million, three hundred twenty thousand".