221301012230304 has 96 divisors (see below), whose sum is σ = 609249355989120. Its totient is φ = 70201571607552.

The previous prime is 221301012230257. The next prime is 221301012230369. The reversal of 221301012230304 is 403032210103122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 253948039 + ... + 254817990.

It is an arithmetic number, because the mean of its divisors is an integer number (6346347458220).

Almost surely, 2^{221301012230304} is an apocalyptic number.

221301012230304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221301012230304 is an abundant number, since it is smaller than the sum of its proper divisors (387948343758816).

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

221301012230304 is a wasteful number, since it uses less digits than its factorization.

221301012230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508766262 (or 508766254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221301012230304 its reverse (403032210103122), we get a palindrome (624333222333426).

The spelling of 221301012230304 in words is "two hundred twenty-one trillion, three hundred one billion, twelve million, two hundred thirty thousand, three hundred four".