221121120020000 has 240 divisors, whose sum is σ = 573263258686272. Its totient is φ = 83765193600000.

The previous prime is 221121120019991. The next prime is 221121120020057. The reversal of 221121120020000 is 20021121122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44080307 + ... + 48839693.

Almost surely, 2^{221121120020000} is an apocalyptic number.

221121120020000 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 221121120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286631629343136).

221121120020000 is an abundant number, since it is smaller than the sum of its proper divisors (352142138666272).

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

221121120020000 is a wasteful number, since it uses less digits than its factorization.

221121120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759541 (or 4759518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221121120020000 its reverse (20021121122), we get a palindrome (221141141141122).

The spelling of 221121120020000 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, twenty thousand".