211200002112 has 112 divisors (see below), whose sum is σ = 645458939712. Its totient is φ = 60235284480.

The previous prime is 211200002089. The next prime is 211200002119.

211200002112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211200002119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2905273 + ... + 2977080.

Almost surely, 2^211200002112 is an apocalyptic number.

211200002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211200002112 is an abundant number, since it is smaller than the sum of its proper divisors (434258937600).

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

211200002112 is a wasteful number, since it uses less digits than its factorization.

211200002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882396 (or 5882386 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 21120000 and 2112, that multiplied together give a square (44605440000 = 211200²).

The spelling of 211200002112 in words is "two hundred eleven billion, two hundred million, two thousand, one hundred twelve".