212114560 has 128 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 71909376.

The previous prime is 212114543. The next prime is 212114561. The reversal of 212114560 is 65411212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212114561) 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, 506031 + ... + 506449.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2^212114560 is an apocalyptic number.

212114560 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 212114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

212114560 is an abundant number, since it is smaller than the sum of its proper divisors (373936640).

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

212114560 is a wasteful number, since it uses less digits than its factorization.

212114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 212114560 is about 14564.1532537941. The cubic root of 212114560 is about 596.3805806121.

Adding to 212114560 its reverse (65411212), we get a palindrome (277525772).

The spelling of 212114560 in words is "two hundred twelve million, one hundred fourteen thousand, five hundred sixty".