212405144000 has 112 divisors (see below), whose sum is σ = 601167403200. Its totient is φ = 72824601600.

The previous prime is 212405143999. The next prime is 212405144051. The reversal of 212405144000 is 441504212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 1840475 + ... + 1952474.

It is an arithmetic number, because the mean of its divisors is an integer number (5367566100).

Almost surely, 2^212405144000 is an apocalyptic number.

212405144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212405144000 is an abundant number, since it is smaller than the sum of its proper divisors (388762259200).

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

212405144000 is an equidigital number, since it uses as much as digits as its factorization.

212405144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792983 (or 3792963 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 212405144000 its reverse (441504212), we get a palindrome (212846648212).

The spelling of 212405144000 in words is "two hundred twelve billion, four hundred five million, one hundred forty-four thousand".