212450214400 has 120 divisors (see below), whose sum is σ = 534992855364. Its totient is φ = 83586662400.

The previous prime is 212450214377. The next prime is 212450214437. The reversal of 212450214400 is 4412054212.

It can be written as a sum of positive squares in 6 ways, for example, as 6392322304 + 206057892096 = 79952^2 + 453936^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644754 + ... + 916846.

Almost surely, 2^212450214400 is an apocalyptic number.

212450214400 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 212450214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267496427682).

212450214400 is an abundant number, since it is smaller than the sum of its proper divisors (322542640964).

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

212450214400 is an equidigital number, since it uses as much as digits as its factorization.

212450214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272182 (or 272161 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 212450214400 its reverse (4412054212), we get a palindrome (216862268612).

The spelling of 212450214400 in words is "two hundred twelve billion, four hundred fifty million, two hundred fourteen thousand, four hundred".