211212121211000 has 512 divisors, whose sum is σ = 612051484262400. Its totient is φ = 66432930969600.

The previous prime is 211212121210973. The next prime is 211212121211081. The reversal of 211212121211000 is 112121212112.

It is a super-2 number, since 2×211212121211000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211212121211000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12439600511 + ... + 12439617489.

It is an arithmetic number, because the mean of its divisors is an integer number (1195413055200).

Almost surely, 2^{211212121211000} is an apocalyptic number.

211212121211000 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 211212121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306025742131200).

211212121211000 is an abundant number, since it is smaller than the sum of its proper divisors (400839363051400).

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

211212121211000 is a wasteful number, since it uses less digits than its factorization.

211212121211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17856 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211212121211000 its reverse (112121212112), we get a palindrome (211324242423112).

The spelling of 211212121211000 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand".