211200121216 has 64 divisors (see below), whose sum is σ = 496369013760. Its totient is φ = 87594508800.

The previous prime is 211200121213. The next prime is 211200121271. The reversal of 211200121216 is 612121002112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 211200121193 and 211200121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200121211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3774070 + ... + 3829621.

It is an arithmetic number, because the mean of its divisors is an integer number (7755765840).

Almost surely, 2^211200121216 is an apocalyptic number.

It is an amenable number.

211200121216 is an abundant number, since it is smaller than the sum of its proper divisors (285168892544).

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

211200121216 is an equidigital number, since it uses as much as digits as its factorization.

211200121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603743 (or 7603731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 211200121216 its reverse (612121002112), we get a palindrome (823321123328).

The spelling of 211200121216 in words is "two hundred eleven billion, two hundred million, one hundred twenty-one thousand, two hundred sixteen".