20212224424000 has 448 divisors, whose sum is σ = 60386976000000. Its totient is φ = 6690916915200.

The previous prime is 20212224423991. The next prime is 20212224424027. The reversal of 20212224424000 is 42442221202.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20212224424000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79449001 + ... + 79702999.

Almost surely, 2^{20212224424000} is an apocalyptic number.

20212224424000 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 20212224424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30193488000000).

20212224424000 is an abundant number, since it is smaller than the sum of its proper divisors (40174751576000).

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

20212224424000 is an equidigital number, since it uses as much as digits as its factorization.

20212224424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254076 (or 254042 counting only the distinct ones).

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

Adding to 20212224424000 its reverse (42442221202), we get a palindrome (20254666645202).

The spelling of 20212224424000 in words is "twenty trillion, two hundred twelve billion, two hundred twenty-four million, four hundred twenty-four thousand".