212320004400 has 360 divisors, whose sum is σ = 869234555904. Its totient is φ = 46964620800.

The previous prime is 212320004381. The next prime is 212320004401. The reversal of 212320004400 is 4400023212.

212320004400 is a `hidden beast` number, since 2 + 1 + 23 + 200 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212320004401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 645307 + ... + 917093.

Almost surely, 2^212320004400 is an apocalyptic number.

212320004400 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 212320004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434617277952).

212320004400 is an abundant number, since it is smaller than the sum of its proper divisors (656914551504).

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

212320004400 is a wasteful number, since it uses less digits than its factorization.

212320004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271849 (or 271835 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212320004400 its reverse (4400023212), we get a palindrome (216720027612).

The spelling of 212320004400 in words is "two hundred twelve billion, three hundred twenty million, four thousand, four hundred".