212122342400 has 66 divisors (see below), whose sum is σ = 525806605710. Its totient is φ = 84848926720.

The previous prime is 212122342387. The next prime is 212122342507. The reversal of 212122342400 is 4243221212.

It can be written as a sum of positive squares in 3 ways, for example, as 4507242496 + 207615099904 = 67136^2 + 455648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4117415 + ... + 4168614.

Almost surely, 2^212122342400 is an apocalyptic number.

212122342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122342400 is an abundant number, since it is smaller than the sum of its proper divisors (313684263310).

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

212122342400 is an equidigital number, since it uses as much as digits as its factorization.

212122342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286059 (or 8286036 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 212122342400 its reverse (4243221212), we get a palindrome (216365563612).

The spelling of 212122342400 in words is "two hundred twelve billion, one hundred twenty-two million, three hundred forty-two thousand, four hundred".