212012320144400 has 240 divisors, whose sum is σ = 534361318853376. Its totient is φ = 80682092789760.

The previous prime is 212012320144393. The next prime is 212012320144463. The reversal of 212012320144400 is 4441023210212.

It is a self number, because there is not a number n which added to its sum of digits gives 212012320144400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14618507549 + ... + 14618522051.

Almost surely, 2^{212012320144400} is an apocalyptic number.

212012320144400 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 212012320144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267180659426688).

212012320144400 is an abundant number, since it is smaller than the sum of its proper divisors (322348998708976).

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

212012320144400 is a wasteful number, since it uses less digits than its factorization.

212012320144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22970 (or 22959 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 212012320144400 its reverse (4441023210212), we get a palindrome (216453343354612).

The spelling of 212012320144400 in words is "two hundred twelve trillion, twelve billion, three hundred twenty million, one hundred forty-four thousand, four hundred".