212576120 has 64 divisors (see below), whose sum is σ = 501768000. Its totient is φ = 80898048.

The previous prime is 212576101. The next prime is 212576129. The reversal of 212576120 is 21675212.

It is a self number, because there is not a number n which added to its sum of digits gives 212576120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212576129) 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, 210176 + ... + 211184.

It is an arithmetic number, because the mean of its divisors is an integer number (7840125).

Almost surely, 2^212576120 is an apocalyptic number.

212576120 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 212576120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250884000).

212576120 is an abundant number, since it is smaller than the sum of its proper divisors (289191880).

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

212576120 is a wasteful number, since it uses less digits than its factorization.

212576120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 212576120 is about 14579.9903978021. The cubic root of 212576120 is about 596.8128407442.

The spelling of 212576120 in words is "two hundred twelve million, five hundred seventy-six thousand, one hundred twenty".