212740000 has 120 divisors (see below), whose sum is σ = 571542048. Its totient is φ = 77280000.

The previous prime is 212739977. The next prime is 212740007. The reversal of 212740000 is 47212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212740007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219517 + ... + 220483.

Almost surely, 2^212740000 is an apocalyptic number.

212740000 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 212740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285771024).

212740000 is an abundant number, since it is smaller than the sum of its proper divisors (358802048).

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

212740000 is an equidigital number, since it uses as much as digits as its factorization.

212740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 212740000 is about 14585.6093462015. The cubic root of 212740000 is about 596.9661671001.

Adding to 212740000 its reverse (47212), we get a palindrome (212787212).

The spelling of 212740000 in words is "two hundred twelve million, seven hundred forty thousand".