214212241320 has 256 divisors, whose sum is σ = 803453644800. Its totient is φ = 44386959360.

The previous prime is 214212241303. The next prime is 214212241339. The reversal of 214212241320 is 23142212412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3284872 + ... + 3349448.

It is an arithmetic number, because the mean of its divisors is an integer number (3138490800).

Almost surely, 2^214212241320 is an apocalyptic number.

214212241320 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 214212241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401726822400).

214212241320 is an abundant number, since it is smaller than the sum of its proper divisors (589241403480).

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

214212241320 is a wasteful number, since it uses less digits than its factorization.

214212241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64968 (or 64964 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214212241320 its reverse (23142212412), we get a palindrome (237354453732).

The spelling of 214212241320 in words is "two hundred fourteen billion, two hundred twelve million, two hundred forty-one thousand, three hundred twenty".