20111201221120 has 160 divisors (see below), whose sum is σ = 49934260252800. Its totient is φ = 7759024766976.

The previous prime is 20111201221109. The next prime is 20111201221171. The reversal of 20111201221120 is 2112210211102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20111201221094 and 20111201221103.

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, 71650011 + ... + 71930149.

It is an arithmetic number, because the mean of its divisors is an integer number (312089126580).

Almost surely, 2^{20111201221120} is an apocalyptic number.

20111201221120 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 20111201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967130126400).

20111201221120 is an abundant number, since it is smaller than the sum of its proper divisors (29823059031680).

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

20111201221120 is an equidigital number, since it uses as much as digits as its factorization.

20111201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281158 (or 281142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20111201221120 its reverse (2112210211102), we get a palindrome (22223411432222).

The spelling of 20111201221120 in words is "twenty trillion, one hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".