212012110000 has 100 divisors (see below), whose sum is σ = 518288557072. Its totient is φ = 83981088000.

The previous prime is 212012109989. The next prime is 212012110039. The reversal of 212012110000 is 11210212.

212012110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 927082 + ... + 1132918.

Almost surely, 2^212012110000 is an apocalyptic number.

212012110000 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 212012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259144278536).

212012110000 is an abundant number, since it is smaller than the sum of its proper divisors (306276447072).

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

212012110000 is a wasteful number, since it uses less digits than its factorization.

212012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205968 (or 205947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212012110000 its reverse (11210212), we get a palindrome (212023320212).

The spelling of 212012110000 in words is "two hundred twelve billion, twelve million, one hundred ten thousand".