212417920 has 192 divisors, whose sum is σ = 603958320. Its totient is φ = 70963200.

The previous prime is 212417917. The next prime is 212417927. The reversal of 212417920 is 29714212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212417927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006615 + ... + 1006825.

Almost surely, 2^212417920 is an apocalyptic number.

212417920 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 212417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301979160).

212417920 is an abundant number, since it is smaller than the sum of its proper divisors (391540400).

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

212417920 is a wasteful number, since it uses less digits than its factorization.

212417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 212417920 is about 14574.5641444264. The cubic root of 212417920 is about 596.6647538336.

It can be divided in two parts, 21241 and 7920, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 212417920 in words is "two hundred twelve million, four hundred seventeen thousand, nine hundred twenty".