214001200 has 120 divisors (see below), whose sum is σ = 613317888. Its totient is φ = 70160640.

The previous prime is 214001197. The next prime is 214001257. The reversal of 214001200 is 2100412.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62739 + ... + 66061.

Almost surely, 2^214001200 is an apocalyptic number.

214001200 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 214001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306658944).

214001200 is an abundant number, since it is smaller than the sum of its proper divisors (399316688).

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

214001200 is a wasteful number, since it uses less digits than its factorization.

214001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 214001200 is about 14628.7798534259. The cubic root of 214001200 is about 598.1435209932.

Adding to 214001200 its reverse (2100412), we get a palindrome (216101612).

The spelling of 214001200 in words is "two hundred fourteen million, one thousand, two hundred".