211221222122112 has 128 divisors (see below), whose sum is σ = 576243510066240. Its totient is φ = 68501391925248.

The previous prime is 211221222122077. The next prime is 211221222122117.

211221222122112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×211221222122112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (211221222122117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 364244943 + ... + 364824369.

Almost surely, 2^{211221222122112} 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 211221222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288121755033120).

211221222122112 is an abundant number, since it is smaller than the sum of its proper divisors (365022287944128).

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

211221222122112 is a wasteful number, since it uses less digits than its factorization.

211221222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605138 (or 605126 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The spelling of 211221222122112 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".