214221124431300 has 288 divisors, whose sum is σ = 745759768320000. Its totient is φ = 46380271472640.

The previous prime is 214221124431289. The next prime is 214221124431337. The reversal of 214221124431300 is 3134421122412.

It is a happy number.

It is a super-2 number, since 2×214221124431300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 249465076 + ... + 250322324.

It is an arithmetic number, because the mean of its divisors is an integer number (2589443640000).

Almost surely, 2^{214221124431300} is an apocalyptic number.

214221124431300 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 214221124431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372879884160000).

214221124431300 is an abundant number, since it is smaller than the sum of its proper divisors (531538643888700).

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

214221124431300 is a wasteful number, since it uses less digits than its factorization.

214221124431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863555 (or 863548 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 214221124431300 its reverse (3134421122412), we get a palindrome (217355545553712).

The spelling of 214221124431300 in words is "two hundred fourteen trillion, two hundred twenty-one billion, one hundred twenty-four million, four hundred thirty-one thousand, three hundred".