211200022120122 has 128 divisors (see below), whose sum is σ = 543690600652800. Its totient is φ = 59524943688000.

The previous prime is 211200022120121. The next prime is 211200022120183. The reversal of 211200022120122 is 221021220002112.

It is a happy number.

211200022120122 is a `hidden beast` number, since 21 + 1 + 200 + 0 + 221 + 201 + 22 = 666.

It is a super-4 number, since 4×211200022120122⁴ (a number of 58 digits) contains 4444 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 = 211200022120095 and 211200022120104.

It is not an unprimeable number, because it can be changed into a prime (211200022120121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139629 + ... + 20552847.

It is an arithmetic number, because the mean of its divisors is an integer number (4247582817600).

Almost surely, 2^{211200022120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200022120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271845300326400).

211200022120122 is an abundant number, since it is smaller than the sum of its proper divisors (332490578532678).

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

211200022120122 is a wasteful number, since it uses less digits than its factorization.

211200022120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413609 (or 20413603 counting only the distinct ones).

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

Adding to 211200022120122 its reverse (221021220002112), we get a palindrome (432221242122234).

The spelling of 211200022120122 in words is "two hundred eleven trillion, two hundred billion, twenty-two million, one hundred twenty thousand, one hundred twenty-two".