214033120 has 192 divisors, whose sum is σ = 609638400. Its totient is φ = 69488640.

The previous prime is 214033117. The next prime is 214033129. The reversal of 214033120 is 21330412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 214033094 and 214033103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214033129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709241 + ... + 2709319.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^214033120 is an apocalyptic number.

214033120 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 214033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

214033120 is an abundant number, since it is smaller than the sum of its proper divisors (395605280).

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

214033120 is a wasteful number, since it uses less digits than its factorization.

214033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 214033120 is about 14629.8708128267. The cubic root of 214033120 is about 598.1732588202.

Adding to 214033120 its reverse (21330412), we get a palindrome (235363532).

The spelling of 214033120 in words is "two hundred fourteen million, thirty-three thousand, one hundred twenty".