212112122111200 has 288 divisors, whose sum is σ = 550173106980000. Its totient is φ = 79578210631680.

The previous prime is 212112122111173. The next prime is 212112122111221. The reversal of 212112122111200 is 2111221211212.

It is a happy number.

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, 21982803976 + ... + 21982813624.

It is an arithmetic number, because the mean of its divisors is an integer number (1910323288125).

Almost surely, 2^{212112122111200} is an apocalyptic number.

212112122111200 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 212112122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275086553490000).

212112122111200 is an abundant number, since it is smaller than the sum of its proper divisors (338060984868800).

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

212112122111200 is a wasteful number, since it uses less digits than its factorization.

212112122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15102 (or 15089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212112122111200 its reverse (2111221211212), we get a palindrome (214223343322412).

The spelling of 212112122111200 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".