214216265200 has 120 divisors (see below), whose sum is σ = 589090724352. Its totient is φ = 73331439360.

The previous prime is 214216265189. The next prime is 214216265201. The reversal of 214216265200 is 2562612412.

It is a super-3 number, since 3×214216265200³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214216265201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1752477 + ... + 1870723.

Almost surely, 2^214216265200 is an apocalyptic number.

214216265200 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 214216265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294545362176).

214216265200 is an abundant number, since it is smaller than the sum of its proper divisors (374874459152).

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

214216265200 is a wasteful number, since it uses less digits than its factorization.

214216265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118919 (or 118908 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 214216265200 its reverse (2562612412), we get a palindrome (216778877612).

The spelling of 214216265200 in words is "two hundred fourteen billion, two hundred sixteen million, two hundred sixty-five thousand, two hundred".