212100000 has 288 divisors, whose sum is σ = 803198592. Its totient is φ = 48000000.

The previous prime is 212099981. The next prime is 212100017. The reversal of 212100000 is 1212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2099950 + ... + 2100050.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^212100000 is an apocalyptic number.

212100000 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 212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401599296).

212100000 is an abundant number, since it is smaller than the sum of its proper divisors (591098592).

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

212100000 is an equidigital number, since it uses as much as digits as its factorization.

212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 212100000 is about 14563.6533878007. The cubic root of 212100000 is about 596.3669346842.

Adding to 212100000 its reverse (1212), we get a palindrome (212101212).

The spelling of 212100000 in words is "two hundred twelve million, one hundred thousand".