217212114000 has 320 divisors, whose sum is σ = 802308648960. Its totient is φ = 49525977600.

The previous prime is 217212113953. The next prime is 217212114023. The reversal of 217212114000 is 411212712.

It is a super-2 number, since 2×217212114000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17591829 + ... + 17604171.

It is an arithmetic number, because the mean of its divisors is an integer number (2507214528).

Almost surely, 2^217212114000 is an apocalyptic number.

217212114000 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 217212114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401154324480).

217212114000 is an abundant number, since it is smaller than the sum of its proper divisors (585096534960).

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

217212114000 is a wasteful number, since it uses less digits than its factorization.

217212114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12795 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 217212114000 its reverse (411212712), we get a palindrome (217623326712).

The spelling of 217212114000 in words is "two hundred seventeen billion, two hundred twelve million, one hundred fourteen thousand".