212121212121000 has 2304 divisors, whose sum is σ = 931684330624320. Its totient is φ = 43110144000000.

The previous prime is 212121212120989. The next prime is 212121212121089. The reversal of 212121212121000 is 121212121212.

212121212121000 is a `hidden beast` number, since 2 + 121 + 212 + 121 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 29349857124 + 212091862263876 = 171318^2 + 14563374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21424216050 + ... + 21424225950.

Almost surely, 2^{212121212121000} is an apocalyptic number.

212121212121000 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 212121212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465842165312160).

212121212121000 is an abundant number, since it is smaller than the sum of its proper divisors (719563118503320).

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

212121212121000 is a wasteful number, since it uses less digits than its factorization.

212121212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212121212121000 its reverse (121212121212), we get a palindrome (212242424242212).

It can be divided in two parts, 212121212 and 121000, that added together give a palindrome (212242212).

The spelling of 212121212121000 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty-one thousand".