2210112001200 has 480 divisors, whose sum is σ = 7303752529920. Its totient is φ = 571001753600.

The previous prime is 2210112001189. The next prime is 2210112001309. The reversal of 2210112001200 is 21002110122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4342066546 + ... + 4342067054.

It is an arithmetic number, because the mean of its divisors is an integer number (15216151104).

Almost surely, 2^{2210112001200} is an apocalyptic number.

2210112001200 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 2210112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651876264960).

2210112001200 is an abundant number, since it is smaller than the sum of its proper divisors (5093640528720).

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

2210112001200 is a wasteful number, since it uses less digits than its factorization.

2210112001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210112001200 its reverse (21002110122), we get a palindrome (2231114111322).

The spelling of 2210112001200 in words is "two trillion, two hundred ten billion, one hundred twelve million, one thousand, two hundred".