221220202021120 has 144 divisors (see below), whose sum is σ = 541446338619648. Its totient is φ = 86560460226560.

The previous prime is 221220202021111. The next prime is 221220202021123. The reversal of 221220202021120 is 21120202022122.

It is not an unprimeable number, because it can be changed into a prime (221220202021123) by changing a digit.

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, 115216812 + ... + 117121108.

It is an arithmetic number, because the mean of its divisors is an integer number (3760044018192).

Almost surely, 2^{221220202021120} is an apocalyptic number.

221220202021120 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 221220202021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270723169309824).

221220202021120 is an abundant number, since it is smaller than the sum of its proper divisors (320226136598528).

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

221220202021120 is a wasteful number, since it uses less digits than its factorization.

221220202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906296 (or 1906282 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221220202021120 its reverse (21120202022122), we get a palindrome (242340404043242).

The spelling of 221220202021120 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred two million, twenty-one thousand, one hundred twenty".