214211130323320 has 256 divisors, whose sum is σ = 524666207278080. Its totient is φ = 78242858496000.

The previous prime is 214211130323293. The next prime is 214211130323363. The reversal of 214211130323320 is 23323031112412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18151941420 + ... + 18151953220.

It is an arithmetic number, because the mean of its divisors is an integer number (2049477372180).

Almost surely, 2^{214211130323320} is an apocalyptic number.

214211130323320 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 214211130323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262333103639040).

214211130323320 is an abundant number, since it is smaller than the sum of its proper divisors (310455076954760).

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

214211130323320 is a wasteful number, since it uses less digits than its factorization.

214211130323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966 (or 12962 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 214211130323320 its reverse (23323031112412), we get a palindrome (237534161435732).

The spelling of 214211130323320 in words is "two hundred fourteen trillion, two hundred eleven billion, one hundred thirty million, three hundred twenty-three thousand, three hundred twenty".