211000120122220 has 384 divisors, whose sum is σ = 531043817472000. Its totient is φ = 69414810624000.

The previous prime is 211000120122179. The next prime is 211000120122221. The reversal of 211000120122220 is 22221021000112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211000120122194 and 211000120122203.

It is not an unprimeable number, because it can be changed into a prime (211000120122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69203055256 + ... + 69203058304.

It is an arithmetic number, because the mean of its divisors is an integer number (1382926608000).

Almost surely, 2^{211000120122220} is an apocalyptic number.

211000120122220 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 211000120122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265521908736000).

211000120122220 is an abundant number, since it is smaller than the sum of its proper divisors (320043697349780).

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

211000120122220 is a wasteful number, since it uses less digits than its factorization.

211000120122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5527 counting only the distinct ones).

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

Adding to 211000120122220 its reverse (22221021000112), we get a palindrome (233221141122332).

The spelling of 211000120122220 in words is "two hundred eleven trillion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".