2211012200000 has 168 divisors, whose sum is σ = 5673113850600. Its totient is φ = 853905920000.

The previous prime is 2211012199997. The next prime is 2211012200003. The reversal of 2211012200000 is 22101122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2211012199997) and next prime (2211012200003).

It can be written as a sum of positive squares in 12 ways, for example, as 1988145120256 + 222867079744 = 1410016^2 + 472088^2 .

It is not an unprimeable number, because it can be changed into a prime (2211012200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5609396 + ... + 5990604.

It is an arithmetic number, because the mean of its divisors is an integer number (33768534825).

Almost surely, 2^{2211012200000} is an apocalyptic number.

2211012200000 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 2211012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836556925300).

2211012200000 is an abundant number, since it is smaller than the sum of its proper divisors (3462101650600).

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

2211012200000 is an frugal number, since it uses more digits than its factorization.

2211012200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381275 (or 381245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2211012200000 its reverse (22101122), we get a palindrome (2211034301122).

The spelling of 2211012200000 in words is "two trillion, two hundred eleven billion, twelve million, two hundred thousand".