211200122212112 has 30 divisors (see below), whose sum is σ = 449782078454814. Its totient is φ = 96000055550080.

The previous prime is 211200122212097. The next prime is 211200122212153. The reversal of 211200122212112 is 211212221002112.

It can be written as a sum of positive squares in only one way, i.e., 192369243836176 + 18830878375936 = 13869724^2 + 4339456^2 .

It is a super-2 number, since 2×211200122212112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54545484173 + ... + 54545488044.

Almost surely, 2^{211200122212112} is an apocalyptic number.

211200122212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211200122212112 is an abundant number, since it is smaller than the sum of its proper divisors (238581956242702).

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

211200122212112 is a wasteful number, since it uses less digits than its factorization.

211200122212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109090972247 (or 109090972230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211200122212112 its reverse (211212221002112), we get a palindrome (422412343214224).

The spelling of 211200122212112 in words is "two hundred eleven trillion, two hundred billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".