212112111100000 has 288 divisors, whose sum is σ = 544768712695872. Its totient is φ = 81139027200000.

The previous prime is 212112111099971. The next prime is 212112111100037. The reversal of 212112111100000 is 1111211212.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 21337095030 + ... + 21337104970.

It is an arithmetic number, because the mean of its divisors is an integer number (1891558030194).

Almost surely, 2^{212112111100000} is an apocalyptic number.

212112111100000 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 212112111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272384356347936).

212112111100000 is an abundant number, since it is smaller than the sum of its proper divisors (332656601595872).

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

212112111100000 is an frugal number, since it uses more digits than its factorization.

212112111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19276 (or 19248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212112111100000 its reverse (1111211212), we get a palindrome (212113222311212).

The spelling of 212112111100000 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred thousand".