211220482200 has 384 divisors, whose sum is σ = 808576581120. Its totient is φ = 44416512000.

The previous prime is 211220482163. The next prime is 211220482217. The reversal of 211220482200 is 2284022112.

It is a super-2 number, since 2×211220482200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16755900 + ... + 16768500.

It is an arithmetic number, because the mean of its divisors is an integer number (2105668180).

Almost surely, 2^211220482200 is an apocalyptic number.

211220482200 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 211220482200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404288290560).

211220482200 is an abundant number, since it is smaller than the sum of its proper divisors (597356098920).

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

211220482200 is a wasteful number, since it uses less digits than its factorization.

211220482200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 211220482200 in words is "two hundred eleven billion, two hundred twenty million, four hundred eighty-two thousand, two hundred".