211212211000 has 128 divisors (see below), whose sum is σ = 566125148160. Its totient is φ = 72251088000.

The previous prime is 211212210973. The next prime is 211212211037. The reversal of 211212211000 is 112212112.

It is a super-2 number, since 2×211212211000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3066945 + ... + 3135055.

It is an arithmetic number, because the mean of its divisors is an integer number (4422852720).

Almost surely, 2^211212211000 is an apocalyptic number.

211212211000 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 211212211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283062574080).

211212211000 is an abundant number, since it is smaller than the sum of its proper divisors (354912937160).

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

211212211000 is a wasteful number, since it uses less digits than its factorization.

211212211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68582 (or 68568 counting only the distinct ones).

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

Adding to 211212211000 its reverse (112212112), we get a palindrome (211324423112).

The spelling of 211212211000 in words is "two hundred eleven billion, two hundred twelve million, two hundred eleven thousand".