211220002220000 has 240 divisors, whose sum is σ = 520693664253840. Its totient is φ = 84315700224000.

The previous prime is 211220002219999. The next prime is 211220002220011. The reversal of 211220002220000 is 22200022112.

It is a super-2 number, since 2×211220002220000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25238375816 + ... + 25238384184.

It is an arithmetic number, because the mean of its divisors is an integer number (2169556934391).

Almost surely, 2^{211220002220000} is an apocalyptic number.

211220002220000 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 211220002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260346832126920).

211220002220000 is an abundant number, since it is smaller than the sum of its proper divisors (309473662033840).

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

211220002220000 is an equidigital number, since it uses as much as digits as its factorization.

211220002220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 211220002220000 its reverse (22200022112), we get a palindrome (211242202242112).

The spelling of 211220002220000 in words is "two hundred eleven trillion, two hundred twenty billion, two million, two hundred twenty thousand".