20241142200 has 288 divisors, whose sum is σ = 70478703360. Its totient is φ = 5202489600.

The previous prime is 20241142177. The next prime is 20241142283. The reversal of 20241142200 is 224114202.

20241142200 is a `hidden beast` number, since 2 + 0 + 241 + 1 + 422 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5666415 + ... + 5669985.

It is an arithmetic number, because the mean of its divisors is an integer number (244717720).

Almost surely, 2^20241142200 is an apocalyptic number.

20241142200 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 20241142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35239351680).

20241142200 is an abundant number, since it is smaller than the sum of its proper divisors (50237561160).

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

20241142200 is a wasteful number, since it uses less digits than its factorization.

20241142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20241142200 its reverse (224114202), we get a palindrome (20465256402).

The spelling of 20241142200 in words is "twenty billion, two hundred forty-one million, one hundred forty-two thousand, two hundred".