211221404300 has 72 divisors (see below), whose sum is σ = 474886011600. Its totient is φ = 81449509120.

The previous prime is 211221404293. The next prime is 211221404309. The reversal of 211221404300 is 3404122112.

211221404300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211221404300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211221404309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837931 + ... + 1949469.

It is an arithmetic number, because the mean of its divisors is an integer number (6595639050).

Almost surely, 2^211221404300 is an apocalyptic number.

211221404300 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 211221404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237443005800).

211221404300 is an abundant number, since it is smaller than the sum of its proper divisors (263664607300).

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

211221404300 is a wasteful number, since it uses less digits than its factorization.

211221404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112235 (or 112228 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211221404300 its reverse (3404122112), we get a palindrome (214625526412).

The spelling of 211221404300 in words is "two hundred eleven billion, two hundred twenty-one million, four hundred four thousand, three hundred".