214131120 has 160 divisors (see below), whose sum is σ = 763665408. Its totient is φ = 48620544.

The previous prime is 214131091. The next prime is 214131131. The reversal of 214131120 is 21131412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214131120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330637 + ... + 331283.

Almost surely, 2^214131120 is an apocalyptic number.

214131120 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 214131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381832704).

214131120 is an abundant number, since it is smaller than the sum of its proper divisors (549534288).

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

214131120 is a wasteful number, since it uses less digits than its factorization.

214131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 214131120 is about 14633.2197413966. The cubic root of 214131120 is about 598.2645406969.

Adding to 214131120 its reverse (21131412), we get a palindrome (235262532).

The spelling of 214131120 in words is "two hundred fourteen million, one hundred thirty-one thousand, one hundred twenty".