212100122000 has 160 divisors (see below), whose sum is σ = 552704312160. Its totient is φ = 78257817600.

The previous prime is 212100121993. The next prime is 212100122083. The reversal of 212100122000 is 221001212.

It is a happy number.

212100122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 117245977744 + 94854144256 = 342412^2 + 307984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60032234 + ... + 60035766.

It is an arithmetic number, because the mean of its divisors is an integer number (3454401951).

Almost surely, 2^212100122000 is an apocalyptic number.

212100122000 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 212100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276352156080).

212100122000 is an abundant number, since it is smaller than the sum of its proper divisors (340604190160).

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

212100122000 is a wasteful number, since it uses less digits than its factorization.

212100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212100122000 its reverse (221001212), we get a palindrome (212321123212).

The spelling of 212100122000 in words is "two hundred twelve billion, one hundred million, one hundred twenty-two thousand".