211220200000000 has 360 divisors, whose sum is σ = 532429268411700. Its totient is φ = 83704320000000.

The previous prime is 211220199999997. The next prime is 211220200000013. The reversal of 211220200000000 is 2022112.

It can be written as a sum of positive squares in 18 ways, for example, as 173358723563776 + 37861476436224 = 13166576^2 + 6153168^2 .

It is a super-2 number, since 2×211220200000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21799995156 + ... + 21800004844.

Almost surely, 2^{211220200000000} is an apocalyptic number.

211220200000000 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 211220200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266214634205850).

211220200000000 is an abundant number, since it is smaller than the sum of its proper divisors (321209068411700).

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

211220200000000 is an frugal number, since it uses more digits than its factorization.

211220200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 211220200000000 its reverse (2022112), we get a palindrome (211220202022112).

The spelling of 211220200000000 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred million", and thus it is an aban number.