212955120 has 480 divisors, whose sum is σ = 891371520. Its totient is φ = 44513280.

The previous prime is 212955109. The next prime is 212955133. The reversal of 212955120 is 21559212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4530937 + ... + 4530983.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^212955120 is an apocalyptic number.

212955120 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 212955120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445685760).

212955120 is an abundant number, since it is smaller than the sum of its proper divisors (678416400).

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

212955120 is a wasteful number, since it uses less digits than its factorization.

212955120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 212955120 is about 14592.9818748603. The cubic root of 212955120 is about 597.1673141980.

The spelling of 212955120 in words is "two hundred twelve million, nine hundred fifty-five thousand, one hundred twenty".