211220202011200 has 168 divisors, whose sum is σ = 530735450275008. Its totient is φ = 82706831800320.

The previous prime is 211220202011179. The next prime is 211220202011209. The reversal of 211220202011200 is 2110202022112.

It is a happy number.

It is a super-2 number, since 2×211220202011200² (a number of 29 digits) contains 22 as substring.

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 (211220202011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34755109 + ... + 40377691.

Almost surely, 2^{211220202011200} is an apocalyptic number.

211220202011200 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 211220202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265367725137504).

211220202011200 is an abundant number, since it is smaller than the sum of its proper divisors (319515248263808).

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

211220202011200 is a wasteful number, since it uses less digits than its factorization.

211220202011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623101 (or 5623086 counting only the distinct ones).

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

Adding to 211220202011200 its reverse (2110202022112), we get a palindrome (213330404033312).

The spelling of 211220202011200 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred two million, eleven thousand, two hundred".