212122000 has 80 divisors (see below), whose sum is σ = 520895232. Its totient is φ = 83529600.

The previous prime is 212121989. The next prime is 212122007. The reversal of 212122000 is 221212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133209 + ... + 134791.

Almost surely, 2^212122000 is an apocalyptic number.

212122000 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 212122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260447616).

212122000 is an abundant number, since it is smaller than the sum of its proper divisors (308773232).

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

212122000 is a wasteful number, since it uses less digits than its factorization.

212122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212122000 is about 14564.4086732006. The cubic root of 212122000 is about 596.3875532902.

Adding to 212122000 its reverse (221212), we get a palindrome (212343212).

The spelling of 212122000 in words is "two hundred twelve million, one hundred twenty-two thousand".