211202200202112 has 384 divisors, whose sum is σ = 718724799936000. Its totient is φ = 58246852349952.

The previous prime is 211202200202041. The next prime is 211202200202131. The reversal of 211202200202112 is 211202002202112.

It is a happy number.

211202200202112 is a `hidden beast` number, since 211 + 2 + 0 + 220 + 0 + 20 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874266813 + ... + 874508355.

It is an arithmetic number, because the mean of its divisors is an integer number (1871679166500).

Almost surely, 2^{211202200202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211202200202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359362399968000).

211202200202112 is an abundant number, since it is smaller than the sum of its proper divisors (507522599733888).

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

211202200202112 is a wasteful number, since it uses less digits than its factorization.

211202200202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245338 (or 245323 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211202200202112 its reverse (211202002202112), we get a palindrome (422404202404224).

The spelling of 211202200202112 in words is "two hundred eleven trillion, two hundred two billion, two hundred million, two hundred two thousand, one hundred twelve".