211221424300 has 72 divisors (see below), whose sum is σ = 466187127392. Its totient is φ = 83045952000.

The previous prime is 211221424283. The next prime is 211221424313. The reversal of 211221424300 is 3424122112.

211221424300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211221424300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9401080 + ... + 9423520.

Almost surely, 2^211221424300 is an apocalyptic number.

211221424300 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 211221424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233093563696).

211221424300 is an abundant number, since it is smaller than the sum of its proper divisors (254965703092).

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

211221424300 is a wasteful number, since it uses less digits than its factorization.

211221424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24059 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211221424300 its reverse (3424122112), we get a palindrome (214645546412).

The spelling of 211221424300 in words is "two hundred eleven billion, two hundred twenty-one million, four hundred twenty-four thousand, three hundred".