211022220112 has 160 divisors (see below), whose sum is σ = 460331144064. Its totient is φ = 92906496000.

The previous prime is 211022220049. The next prime is 211022220127.

It is a happy number.

211022220112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×211022220112³ (a number of 35 digits) contains 333 as substring.

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, 177777183 + ... + 177778369.

Almost surely, 2^211022220112 is an apocalyptic number.

211022220112 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 211022220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230165572032).

211022220112 is an abundant number, since it is smaller than the sum of its proper divisors (249308923952).

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

211022220112 is a wasteful number, since it uses less digits than its factorization.

211022220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 211022 and 220112, that added together give a palindrome (431134).

The spelling of 211022220112 in words is "two hundred eleven billion, twenty-two million, two hundred twenty thousand, one hundred twelve".