214271120 has 120 divisors (see below), whose sum is σ = 592354944. Its totient is φ = 71839488.

The previous prime is 214271093. The next prime is 214271129. The reversal of 214271120 is 21172412.

It is a super-2 number, since 2×214271120² = 91824225732108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214271092 and 214271101.

It is not an unprimeable number, because it can be changed into a prime (214271129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183659 + ... + 184821.

Almost surely, 2^214271120 is an apocalyptic number.

214271120 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 214271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296177472).

214271120 is an abundant number, since it is smaller than the sum of its proper divisors (378083824).

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

214271120 is a wasteful number, since it uses less digits than its factorization.

214271120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 214271120 is about 14638.0025959828. The cubic root of 214271120 is about 598.3948950778.

The spelling of 214271120 in words is "two hundred fourteen million, two hundred seventy-one thousand, one hundred twenty".