211200010000000 has 1024 divisors, whose sum is σ = 669994847308800. Its totient is φ = 64558080000000.

The previous prime is 211200009999989. The next prime is 211200010000009. The reversal of 211200010000000 is 10002112.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (211200010000009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22609995330 + ... + 22610004670.

It is an arithmetic number, because the mean of its divisors is an integer number (654291843075).

Almost surely, 2^{211200010000000} is an apocalyptic number.

211200010000000 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 211200010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334997423654400).

211200010000000 is an abundant number, since it is smaller than the sum of its proper divisors (458794837308800).

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

211200010000000 is an frugal number, since it uses more digits than its factorization.

211200010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9433 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 211200010000000 its reverse (10002112), we get a palindrome (211200020002112).

The spelling of 211200010000000 in words is "two hundred eleven trillion, two hundred billion, ten million", and thus it is an aban number.