212112121000000 has 196 divisors, whose sum is σ = 566602384193524. Its totient is φ = 78318316800000.

The previous prime is 212112120999997. The next prime is 212112121000027. The reversal of 212112121000000 is 121211212.

It can be written as a sum of positive squares in 14 ways, for example, as 98851954074624 + 113260166925376 = 9942432^2 + 10642376^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4841842 + ... + 21158158.

Almost surely, 2^{212112121000000} is an apocalyptic number.

212112121000000 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 212112121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283301192096762).

212112121000000 is an abundant number, since it is smaller than the sum of its proper divisors (354490263193524).

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

212112121000000 is an frugal number, since it uses more digits than its factorization.

212112121000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16316372 (or 16316337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212112121000000 its reverse (121211212), we get a palindrome (212112242211212).

The spelling of 212112121000000 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million", and thus it is an aban number.