221446145023120 has 80 divisors (see below), whose sum is σ = 520076617287552. Its totient is φ = 87682082503680.

The previous prime is 221446145023091. The next prime is 221446145023151. The reversal of 221446145023120 is 21320541644122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 221446145023120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14293324 + ... + 25439956.

Almost surely, 2^{221446145023120} is an apocalyptic number.

221446145023120 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 221446145023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260038308643776).

221446145023120 is an abundant number, since it is smaller than the sum of its proper divisors (298630472264432).

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

221446145023120 is a wasteful number, since it uses less digits than its factorization.

221446145023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149160 (or 11149154 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 221446145023120 its reverse (21320541644122), we get a palindrome (242766686667242).

The spelling of 221446145023120 in words is "two hundred twenty-one trillion, four hundred forty-six billion, one hundred forty-five million, twenty-three thousand, one hundred twenty".