214971120 has 480 divisors, whose sum is σ = 945689472. Its totient is φ = 42467328.

The previous prime is 214971101. The next prime is 214971121. The reversal of 214971120 is 21179412.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214971121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113744 + ... + 1113936.

Almost surely, 2^214971120 is an apocalyptic number.

214971120 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 214971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472844736).

214971120 is an abundant number, since it is smaller than the sum of its proper divisors (730718352).

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

214971120 is a wasteful number, since it uses less digits than its factorization.

214971120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 214971120 is about 14661.8934657158. The cubic root of 214971120 is about 599.0458166948.

The spelling of 214971120 in words is "two hundred fourteen million, nine hundred seventy-one thousand, one hundred twenty".