211223222322112 has 336 divisors, whose sum is σ = 570644944031680. Its totient is φ = 75480506449920.

The previous prime is 211223222322107. The next prime is 211223222322127.

211223222322112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109683964 + ... + 111593092.

Almost surely, 2^{211223222322112} is an apocalyptic number.

211223222322112 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 211223222322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285322472015840).

211223222322112 is an abundant number, since it is smaller than the sum of its proper divisors (359421721709568).

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

211223222322112 is a wasteful number, since it uses less digits than its factorization.

211223222322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909340 (or 1909319 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 211223222322112 in words is "two hundred eleven trillion, two hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-two thousand, one hundred twelve".