211210342112 has 96 divisors (see below), whose sum is σ = 518904610560. Its totient is φ = 82213678080.

The previous prime is 211210342081. The next prime is 211210342127. The reversal of 211210342112 is 211243012112.

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 15 ways as a sum of consecutive naturals, for example, 2663939 + ... + 2742077.

It is an arithmetic number, because the mean of its divisors is an integer number (5405256360).

Almost surely, 2^211210342112 is an apocalyptic number.

211210342112 is a gapful number since it is divisible by the number (22) 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 211210342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259452305280).

211210342112 is an abundant number, since it is smaller than the sum of its proper divisors (307694268448).

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

211210342112 is a wasteful number, since it uses less digits than its factorization.

211210342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79264 (or 79256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211210342112 its reverse (211243012112), we get a palindrome (422453354224).

The spelling of 211210342112 in words is "two hundred eleven billion, two hundred ten million, three hundred forty-two thousand, one hundred twelve".