20400222224000 has 128 divisors (see below), whose sum is σ = 53703585720720. Its totient is φ = 7680083558400.

The previous prime is 20400222223963. The next prime is 20400222224029. The reversal of 20400222224000 is 42222200402.

It can be written as a sum of positive squares in 8 ways, for example, as 2298328768576 + 18101893455424 = 1516024^2 + 4254632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37228409 + ... + 37772408.

Almost surely, 2^{20400222224000} is an apocalyptic number.

20400222224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400222224000 is an abundant number, since it is smaller than the sum of its proper divisors (33303363496720).

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

20400222224000 is an equidigital number, since it uses as much as digits as its factorization.

20400222224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000863 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20400222224000 its reverse (42222200402), we get a palindrome (20442444424402).

The spelling of 20400222224000 in words is "twenty trillion, four hundred billion, two hundred twenty-two million, two hundred twenty-four thousand".