221111241120 has 576 divisors, whose sum is σ = 942119942400. Its totient is φ = 45877248000.

The previous prime is 221111241119. The next prime is 221111241157. The reversal of 221111241120 is 21142111122.

221111241120 is a `hidden beast` number, since 221 + 1 + 1 + 12 + 411 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221111241093 and 221111241102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116312170 + ... + 116314070.

It is an arithmetic number, because the mean of its divisors is an integer number (1635624900).

Almost surely, 2^221111241120 is an apocalyptic number.

221111241120 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 221111241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471059971200).

221111241120 is an abundant number, since it is smaller than the sum of its proper divisors (721008701280).

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

221111241120 is a wasteful number, since it uses less digits than its factorization.

221111241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221111241120 its reverse (21142111122), we get a palindrome (242253352242).

The spelling of 221111241120 in words is "two hundred twenty-one billion, one hundred eleven million, two hundred forty-one thousand, one hundred twenty".