212223110103200 has 288 divisors, whose sum is σ = 593607766671360. Its totient is φ = 72577303833600.

The previous prime is 212223110103157. The next prime is 212223110103233. The reversal of 212223110103200 is 2301011322212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17143794611 + ... + 17143806989.

It is an arithmetic number, because the mean of its divisors is an integer number (2061138078720).

Almost surely, 2^{212223110103200} is an apocalyptic number.

212223110103200 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 212223110103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296803883335680).

212223110103200 is an abundant number, since it is smaller than the sum of its proper divisors (381384656568160).

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

212223110103200 is a wasteful number, since it uses less digits than its factorization.

212223110103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19940 (or 19927 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212223110103200 its reverse (2301011322212), we get a palindrome (214524121425412).

The spelling of 212223110103200 in words is "two hundred twelve trillion, two hundred twenty-three billion, one hundred ten million, one hundred three thousand, two hundred".