221029043200 has 792 divisors, whose sum is σ = 683361833472. Its totient is φ = 70509035520.

The previous prime is 221029043197. The next prime is 221029043231. The reversal of 221029043200 is 2340920122.

221029043200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356006319 + ... + 1356006481.

Almost surely, 2^221029043200 is an apocalyptic number.

221029043200 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 221029043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341680916736).

221029043200 is an abundant number, since it is smaller than the sum of its proper divisors (462332790272).

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

221029043200 is a wasteful number, since it uses less digits than its factorization.

221029043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 221029043200 its reverse (2340920122), we get a palindrome (223369963322).

The spelling of 221029043200 in words is "two hundred twenty-one billion, twenty-nine million, forty-three thousand, two hundred".