212203424000 has 144 divisors (see below), whose sum is σ = 533867299056. Its totient is φ = 84039680000.

The previous prime is 212203423937. The next prime is 212203424047. The reversal of 212203424000 is 424302212.

212203424000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 294191104 + 211909232896 = 17152^2 + 460336^2 .

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, 3199172 + ... + 3264828.

It is an arithmetic number, because the mean of its divisors is an integer number (3707411799).

Almost surely, 2^212203424000 is an apocalyptic number.

212203424000 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 212203424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266933649528).

212203424000 is an abundant number, since it is smaller than the sum of its proper divisors (321663875056).

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

212203424000 is an equidigital number, since it uses as much as digits as its factorization.

212203424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65789 (or 65765 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212203424000 its reverse (424302212), we get a palindrome (212627726212).

The spelling of 212203424000 in words is "two hundred twelve billion, two hundred three million, four hundred twenty-four thousand".