212025304400 has 180 divisors, whose sum is σ = 630388661472. Its totient is φ = 67102364160.

The previous prime is 212025304363. The next prime is 212025304429. The reversal of 212025304400 is 4403520212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249167 + ... + 697233.

Almost surely, 2^212025304400 is an apocalyptic number.

212025304400 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 212025304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315194330736).

212025304400 is an abundant number, since it is smaller than the sum of its proper divisors (418363357072).

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

212025304400 is a wasteful number, since it uses less digits than its factorization.

212025304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448118 (or 448094 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 212025304400 its reverse (4403520212), we get a palindrome (216428824612).

The spelling of 212025304400 in words is "two hundred twelve billion, twenty-five million, three hundred four thousand, four hundred".