211120200122220 has 288 divisors, whose sum is σ = 649110556785600. Its totient is φ = 55538291128320.

The previous prime is 211120200122203. The next prime is 211120200122323. The reversal of 211120200122220 is 22221002021112.

It is a happy number.

211120200122220 is a `hidden beast` number, since 2 + 1 + 1 + 120 + 200 + 122 + 220 = 666.

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 = 211120200122193 and 211120200122202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9823645675 + ... + 9823667165.

It is an arithmetic number, because the mean of its divisors is an integer number (2253856099950).

Almost surely, 2^{211120200122220} is an apocalyptic number.

211120200122220 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 211120200122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324555278392800).

211120200122220 is an abundant number, since it is smaller than the sum of its proper divisors (437990356663380).

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

211120200122220 is a wasteful number, since it uses less digits than its factorization.

211120200122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24145 (or 24140 counting only the distinct ones).

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

Adding to 211120200122220 its reverse (22221002021112), we get a palindrome (233341202143332).

The spelling of 211120200122220 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, one hundred twenty-two thousand, two hundred twenty".