217412700120 has 864 divisors, whose sum is σ = 952770152880. Its totient is φ = 42508247040.

The previous prime is 217412700083. The next prime is 217412700133. The reversal of 217412700120 is 21007214712.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56075622 + ... + 56079498.

Almost surely, 2^217412700120 is an apocalyptic number.

217412700120 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 217412700120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476385076440).

217412700120 is an abundant number, since it is smaller than the sum of its proper divisors (735357452760).

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

217412700120 is a wasteful number, since it uses less digits than its factorization.

217412700120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 217412700120 its reverse (21007214712), we get a palindrome (238419914832).

The spelling of 217412700120 in words is "two hundred seventeen billion, four hundred twelve million, seven hundred thousand, one hundred twenty".