212997120 has 264 divisors, whose sum is σ = 795284064. Its totient is φ = 48513024.

The previous prime is 212997119. The next prime is 212997151. The reversal of 212997120 is 21799212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752499 + ... + 752781.

Almost surely, 2^212997120 is an apocalyptic number.

212997120 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 212997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397642032).

212997120 is an abundant number, since it is smaller than the sum of its proper divisors (582286944).

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

212997120 is a wasteful number, since it uses less digits than its factorization.

212997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 212997120 is about 14594.4208518187. The cubic root of 212997120 is about 597.2065703231.

The spelling of 212997120 in words is "two hundred twelve million, nine hundred ninety-seven thousand, one hundred twenty".