111212110221120 has 336 divisors, whose sum is σ = 383392244898000. Its totient is φ = 29589232582656.

The previous prime is 111212110221119. The next prime is 111212110221181. The reversal of 111212110221120 is 21122011212111.

It is a happy number.

111212110221120 is a `hidden beast` number, since 1 + 1 + 1 + 212 + 110 + 221 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10012212267264 + 101199897953856 = 3164208^2 + 10059816^2 .

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 = 111212110221093 and 111212110221102.

It is a congruent number.

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, 5759590026 + ... + 5759609334.

Almost surely, 2^{111212110221120} is an apocalyptic number.

111212110221120 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 111212110221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191696122449000).

111212110221120 is an abundant number, since it is smaller than the sum of its proper divisors (272180134676880).

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

111212110221120 is a wasteful number, since it uses less digits than its factorization.

111212110221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23770 (or 23757 counting only the distinct ones).

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

Adding to 111212110221120 its reverse (21122011212111), we get a palindrome (132334121433231).

Subtracting from 111212110221120 its reverse (21122011212111), we obtain a palindrome (90090099009009).

The spelling of 111212110221120 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".