2212110112200 has 384 divisors, whose sum is σ = 7198735680000. Its totient is φ = 561460838400.

The previous prime is 2212110112181. The next prime is 2212110112207. The reversal of 2212110112200 is 22110112122.

It is a super-2 number, since 2×2212110112200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212110112200.

It is not an unprimeable number, because it can be changed into a prime (2212110112207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153090576 + ... + 153105024.

It is an arithmetic number, because the mean of its divisors is an integer number (18746707500).

Almost surely, 2^{2212110112200} is an apocalyptic number.

2212110112200 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 2212110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599367840000).

2212110112200 is an abundant number, since it is smaller than the sum of its proper divisors (4986625567800).

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

2212110112200 is a wasteful number, since it uses less digits than its factorization.

2212110112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14665 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212110112200 its reverse (22110112122), we get a palindrome (2234220224322).

The spelling of 2212110112200 in words is "two trillion, two hundred twelve billion, one hundred ten million, one hundred twelve thousand, two hundred".