214230144241120 has 288 divisors, whose sum is σ = 607304406582720. Its totient is φ = 69949999595520.

The previous prime is 214230144241109. The next prime is 214230144241187. The reversal of 214230144241120 is 21142441032412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134888440 + ... + 136467400.

It is an arithmetic number, because the mean of its divisors is an integer number (2108695856190).

Almost surely, 2^{214230144241120} is an apocalyptic number.

214230144241120 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 214230144241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303652203291360).

214230144241120 is an abundant number, since it is smaller than the sum of its proper divisors (393074262341600).

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

214230144241120 is a wasteful number, since it uses less digits than its factorization.

214230144241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579258 (or 1579227 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 214230144241120 its reverse (21142441032412), we get a palindrome (235372585273532).

The spelling of 214230144241120 in words is "two hundred fourteen trillion, two hundred thirty billion, one hundred forty-four million, two hundred forty-one thousand, one hundred twenty".