111212122120 has 128 divisors (see below), whose sum is σ = 277520359680. Its totient is φ = 39772800000.

The previous prime is 111212122081. The next prime is 111212122171. The reversal of 111212122120 is 21221212111.

111212122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111212122120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111212122094 and 111212122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6702154 + ... + 6718726.

It is an arithmetic number, because the mean of its divisors is an integer number (2168127810).

Almost surely, 2^111212122120 is an apocalyptic number.

111212122120 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 111212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138760179840).

111212122120 is an abundant number, since it is smaller than the sum of its proper divisors (166308237560).

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

111212122120 is a wasteful number, since it uses less digits than its factorization.

111212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16847 (or 16843 counting only the distinct ones).

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

Adding to 111212122120 its reverse (21221212111), we get a palindrome (132433334231).

It can be divided in two parts, 111212 and 122120, that added together give a palindrome (233332).

The spelling of 111212122120 in words is "one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".