212204023200 has 864 divisors, whose sum is σ = 898283131200. Its totient is φ = 46568079360.

The previous prime is 212204023193. The next prime is 212204023237. The reversal of 212204023200 is 2320402212.

212204023200 is a `hidden beast` number, since 21 + 220 + 402 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×212204023200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30229291 + ... + 30236309.

It is an arithmetic number, because the mean of its divisors is an integer number (1039679550).

Almost surely, 2^212204023200 is an apocalyptic number.

212204023200 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 212204023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449141565600).

212204023200 is an abundant number, since it is smaller than the sum of its proper divisors (686079108000).

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

212204023200 is a wasteful number, since it uses less digits than its factorization.

212204023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7078 counting only the distinct ones).

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

Adding to 212204023200 its reverse (2320402212), we get a palindrome (214524425412).

The spelling of 212204023200 in words is "two hundred twelve billion, two hundred four million, twenty-three thousand, two hundred".