2211001212112 has 160 divisors (see below), whose sum is σ = 5759081395200. Its totient is φ = 796185676800.

The previous prime is 2211001212089. The next prime is 2211001212137. The reversal of 2211001212112 is 2112121001122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192162 + ... + 2111617.

It is an arithmetic number, because the mean of its divisors is an integer number (35994258720).

Almost surely, 2^{2211001212112} is an apocalyptic number.

2211001212112 is a gapful number since it is divisible by the number (22) 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 2211001212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879540697600).

2211001212112 is an abundant number, since it is smaller than the sum of its proper divisors (3548080183088).

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

2211001212112 is a wasteful number, since it uses less digits than its factorization.

2211001212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303865 (or 2303859 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211001212112 its reverse (2112121001122), we get a palindrome (4323122213234).

The spelling of 2211001212112 in words is "two trillion, two hundred eleven billion, one million, two hundred twelve thousand, one hundred twelve".