221121044538912 has 960 divisors, whose sum is σ = 764761232277504. Its totient is φ = 61367584849920.

The previous prime is 221121044538883. The next prime is 221121044538917. The reversal of 221121044538912 is 219835440121122.

221121044538912 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 2 + 104 + 4 + 538 + 9 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (221121044538917) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82785863337 + ... + 82785866007.

Almost surely, 2^{221121044538912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221121044538912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382380616138752).

221121044538912 is an abundant number, since it is smaller than the sum of its proper divisors (543640187738592).

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

221121044538912 is a wasteful number, since it uses less digits than its factorization.

221121044538912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 221121044538912 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, forty-four million, five hundred thirty-eight thousand, nine hundred twelve".