221432304124200 has 384 divisors, whose sum is σ = 744008849136000. Its totient is φ = 54155239096320.

The previous prime is 221432304124159. The next prime is 221432304124201. The reversal of 221432304124200 is 2421403234122.

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

It is not an unprimeable number, because it can be changed into a prime (221432304124201) 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 95 ways as a sum of consecutive naturals, for example, 4385033352 + ... + 4385083848.

It is an arithmetic number, because the mean of its divisors is an integer number (1937523044625).

Almost surely, 2^{221432304124200} is an apocalyptic number.

221432304124200 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 221432304124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372004424568000).

221432304124200 is an abundant number, since it is smaller than the sum of its proper divisors (522576545011800).

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

221432304124200 is a wasteful number, since it uses less digits than its factorization.

221432304124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54141 (or 54132 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 221432304124200 its reverse (2421403234122), we get a palindrome (223853707358322).

The spelling of 221432304124200 in words is "two hundred twenty-one trillion, four hundred thirty-two billion, three hundred four million, one hundred twenty-four thousand, two hundred".