214143120 has 60 divisors (see below), whose sum is σ = 719166396. Its totient is φ = 57104640.

The previous prime is 214143113. The next prime is 214143121. The reversal of 214143120 is 21341412.

214143120 is a `hidden beast` number, since 214 + 1 + 431 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32216976 + 181926144 = 5676^2 + 13488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214143093 and 214143102.

It is not an unprimeable number, because it can be changed into a prime (214143121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147991 + ... + 149430.

Almost surely, 2^214143120 is an apocalyptic number.

214143120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214143120 is an abundant number, since it is smaller than the sum of its proper divisors (505023276).

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

214143120 is a wasteful number, since it uses less digits than its factorization.

214143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297440 (or 297431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214143120 is about 14633.6297616142. The cubic root of 214143120 is about 598.2757161555.

Adding to 214143120 its reverse (21341412), we get a palindrome (235484532).

The spelling of 214143120 in words is "two hundred fourteen million, one hundred forty-three thousand, one hundred twenty".