221120001120 has 96 divisors (see below), whose sum is σ = 696680000352. Its totient is φ = 58952466432.

The previous prime is 221120001061. The next prime is 221120001149. The reversal of 221120001120 is 21100021122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221120001096 and 221120001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262384 + ... + 2358096.

It is an arithmetic number, because the mean of its divisors is an integer number (7257083337).

Almost surely, 2^221120001120 is an apocalyptic number.

221120001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120001120 is an abundant number, since it is smaller than the sum of its proper divisors (475559999232).

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

221120001120 is a wasteful number, since it uses less digits than its factorization.

221120001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100544 (or 100536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221120001120 its reverse (21100021122), we get a palindrome (242220022242).

The spelling of 221120001120 in words is "two hundred twenty-one billion, one hundred twenty million, one thousand, one hundred twenty".