221441001120 has 144 divisors (see below), whose sum is σ = 783655236000. Its totient is φ = 59050923264.

The previous prime is 221441001073. The next prime is 221441001121. The reversal of 221441001120 is 21100144122.

221441001120 is a `hidden beast` number, since 221 + 4 + 410 + 0 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×221441001120² (a number of 23 digits) contains 22 as substring.

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 = 221441001093 and 221441001102.

It is not an unprimeable number, because it can be changed into a prime (221441001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808870 + ... + 2886629.

It is an arithmetic number, because the mean of its divisors is an integer number (5442050250).

Almost surely, 2^221441001120 is an apocalyptic number.

221441001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221441001120 is an abundant number, since it is smaller than the sum of its proper divisors (562214234880).

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

221441001120 is an equidigital number, since it uses as much as digits as its factorization.

221441001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695529 (or 5695509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221441001120 its reverse (21100144122), we get a palindrome (242541145242).

The spelling of 221441001120 in words is "two hundred twenty-one billion, four hundred forty-one million, one thousand, one hundred twenty".