111211110021220 has 144 divisors (see below), whose sum is σ = 259612338510000. Its totient is φ = 39983467392000.

The previous prime is 111211110021173. The next prime is 111211110021247. The reversal of 111211110021220 is 22120011112111.

111211110021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1697564044836 + 109513545976384 = 1302906^2 + 10464872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111211110021194 and 111211110021203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172972906 + ... + 173614654.

It is an arithmetic number, because the mean of its divisors is an integer number (1802863461875).

Almost surely, 2^{111211110021220} is an apocalyptic number.

111211110021220 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 111211110021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129806169255000).

111211110021220 is an abundant number, since it is smaller than the sum of its proper divisors (148401228488780).

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

111211110021220 is a wasteful number, since it uses less digits than its factorization.

111211110021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642590 (or 642577 counting only the distinct ones).

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

Adding to 111211110021220 its reverse (22120011112111), we get a palindrome (133331121133331).

The spelling of 111211110021220 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred ten million, twenty-one thousand, two hundred twenty".