212100240 has 80 divisors (see below), whose sum is σ = 717293376. Its totient is φ = 51417600.

The previous prime is 212100193. The next prime is 212100241. The reversal of 212100240 is 42001212.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (212100241) 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, 37531 + ... + 42810.

Almost surely, 2^212100240 is an apocalyptic number.

212100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100240 is an abundant number, since it is smaller than the sum of its proper divisors (505193136).

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

212100240 is a wasteful number, since it uses less digits than its factorization.

212100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80368 (or 80362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212100240 is about 14563.6616274892. The cubic root of 212100240 is about 596.3671596222.

Adding to 212100240 its reverse (42001212), we get a palindrome (254101452).

The spelling of 212100240 in words is "two hundred twelve million, one hundred thousand, two hundred forty".