211222122120 has 256 divisors, whose sum is σ = 717187219200. Its totient is φ = 55976562432.

The previous prime is 211222122103. The next prime is 211222122131. The reversal of 211222122120 is 21221222112.

It is a happy number.

It is a super-2 number, since 2×211222122120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211222122093 and 211222122102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14251834 + ... + 14266646.

It is an arithmetic number, because the mean of its divisors is an integer number (2801512575).

Almost surely, 2^211222122120 is an apocalyptic number.

211222122120 is a gapful number since it is divisible by the number (20) 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 211222122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358593609600).

211222122120 is an abundant number, since it is smaller than the sum of its proper divisors (505965097080).

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

211222122120 is a wasteful number, since it uses less digits than its factorization.

211222122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15008 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211222122120 its reverse (21221222112), we get a palindrome (232443344232).

The spelling of 211222122120 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".