20212424204200 has 96 divisors (see below), whose sum is σ = 48143472604920. Its totient is φ = 7887219200000.

The previous prime is 20212424204173. The next prime is 20212424204227. The reversal of 20212424204200 is 240242421202.

It is an interprime number because it is at equal distance from previous prime (20212424204173) and next prime (20212424204227).

It can be written as a sum of positive squares in 12 ways, for example, as 3833583866116 + 16378840338084 = 1957954^2 + 4047078^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127685100 + ... + 127843300.

Almost surely, 2^{20212424204200} is an apocalyptic number.

20212424204200 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 20212424204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071736302460).

20212424204200 is an abundant number, since it is smaller than the sum of its proper divisors (27931048400720).

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

20212424204200 is a wasteful number, since it uses less digits than its factorization.

20212424204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173839 (or 173830 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 20212424204200 its reverse (240242421202), we get a palindrome (20452666625402).

The spelling of 20212424204200 in words is "twenty trillion, two hundred twelve billion, four hundred twenty-four million, two hundred four thousand, two hundred".