211220212120112 has 160 divisors (see below), whose sum is σ = 451434326353920. Its totient is φ = 95144112000000.

The previous prime is 211220212120103. The next prime is 211220212120147. The reversal of 211220212120112 is 211021212022112.

It is a super-2 number, since 2×211220212120112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11573066987 + ... + 11573085237.

It is an arithmetic number, because the mean of its divisors is an integer number (2821464539712).

Almost surely, 2^{211220212120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220212120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225717163176960).

211220212120112 is an abundant number, since it is smaller than the sum of its proper divisors (240214114233808).

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

211220212120112 is a wasteful number, since it uses less digits than its factorization.

211220212120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26203 (or 26197 counting only the distinct ones).

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

Adding to 211220212120112 its reverse (211021212022112), we get a palindrome (422241424142224).

The spelling of 211220212120112 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, one hundred twelve".