211122212020000 has 120 divisors (see below), whose sum is σ = 519452801594496. Its totient is φ = 84439049376000.

The previous prime is 211122212019977. The next prime is 211122212020001. The reversal of 211122212020000 is 20212221112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211122212020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172329609 + ... + 173550391.

Almost surely, 2^{211122212020000} is an apocalyptic number.

211122212020000 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 211122212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259726400797248).

211122212020000 is an abundant number, since it is smaller than the sum of its proper divisors (308330589574496).

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

211122212020000 is an equidigital number, since it uses as much as digits as its factorization.

211122212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229460 (or 1229437 counting only the distinct ones).

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

Adding to 211122212020000 its reverse (20212221112), we get a palindrome (211142424241112).

The spelling of 211122212020000 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, twenty thousand".