212212000 has 384 divisors, whose sum is σ = 713276928. Its totient is φ = 59904000.

The previous prime is 212211997. The next prime is 212212051. The reversal of 212212000 is 212212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003974 + ... + 4004026.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 2^212212000 is an apocalyptic number.

212212000 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 212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

212212000 is an abundant number, since it is smaller than the sum of its proper divisors (501064928).

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

212212000 is a wasteful number, since it uses less digits than its factorization.

212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

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

The square root of 212212000 is about 14567.4980693323. The cubic root of 212212000 is about 596.4718872905.

Adding to 212212000 its reverse (212212), we get a palindrome (212424212).

212212000 divided by its reverse (212212) gives a cube (1000 = 10³).

It can be divided in two parts, 212 and 212000, that added together give a palindrome (212212).

The spelling of 212212000 in words is "two hundred twelve million, two hundred twelve thousand".