111201211121220 has 768 divisors, whose sum is σ = 408227807232000. Its totient is φ = 24849352281600.

The previous prime is 111201211121179. The next prime is 111201211121227. The reversal of 111201211121220 is 22121112102111.

It is a happy number.

111201211121220 is a `hidden beast` number, since 1 + 11 + 201 + 211 + 1 + 21 + 220 = 666.

It is a super-2 number, since 2×111201211121220² (a number of 29 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 = 111201211121193 and 111201211121202.

It is not an unprimeable number, because it can be changed into a prime (111201211121227) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1012162651 + ... + 1012272509.

It is an arithmetic number, because the mean of its divisors is an integer number (531546624000).

Almost surely, 2^{111201211121220} is an apocalyptic number.

111201211121220 is a gapful number since it is divisible by the number (10) 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 111201211121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204113903616000).

111201211121220 is an abundant number, since it is smaller than the sum of its proper divisors (297026596110780).

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

111201211121220 is a wasteful number, since it uses less digits than its factorization.

111201211121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110181 (or 110173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111201211121220 its reverse (22121112102111), we get a palindrome (133322323223331).

The spelling of 111201211121220 in words is "one hundred eleven trillion, two hundred one billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twenty".