212403548800 has 96 divisors (see below), whose sum is σ = 555568174620. Its totient is φ = 79963668480.

The previous prime is 212403548767. The next prime is 212403548839. The reversal of 212403548800 is 8845304212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 137059886656 + 75343662144 = 370216^2 + 274488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212403548800.

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 11 ways as a sum of consecutive naturals, for example, 1897839 + ... + 2006638.

Almost surely, 2^212403548800 is an apocalyptic number.

212403548800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212403548800 is an abundant number, since it is smaller than the sum of its proper divisors (343164625820).

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

212403548800 is a wasteful number, since it uses less digits than its factorization.

212403548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904518 (or 3904501 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 212403548800 in words is "two hundred twelve billion, four hundred three million, five hundred forty-eight thousand, eight hundred".