212114224400 has 120 divisors (see below), whose sum is σ = 567729470280. Its totient is φ = 75618385920.

The previous prime is 212114224391. The next prime is 212114224433. The reversal of 212114224400 is 4422411212.

It can be written as a sum of positive squares in 12 ways, for example, as 85881819136 + 126232405264 = 293056^2 + 355292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552497 + ... + 854096.

It is an arithmetic number, because the mean of its divisors is an integer number (4731078919).

Almost surely, 2^212114224400 is an apocalyptic number.

212114224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212114224400 is an abundant number, since it is smaller than the sum of its proper divisors (355615245880).

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

212114224400 is a wasteful number, since it uses less digits than its factorization.

212114224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406653 (or 1406642 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 212114224400 its reverse (4422411212), we get a palindrome (216536635612).

The spelling of 212114224400 in words is "two hundred twelve billion, one hundred fourteen million, two hundred twenty-four thousand, four hundred".