111120001220 has 144 divisors (see below), whose sum is σ = 257161217040. Its totient is φ = 40190803968.

The previous prime is 111120001211. The next prime is 111120001229. The reversal of 111120001220 is 22100021111.

It is an interprime number because it is at equal distance from previous prime (111120001211) and next prime (111120001229).

It can be written as a sum of positive squares in 24 ways, for example, as 1828930756 + 109291070464 = 42766^2 + 330592^2 .

It is a super-2 number, since 2×111120001220² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111120001229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65479412 + ... + 65481108.

It is an arithmetic number, because the mean of its divisors is an integer number (1785841785).

Almost surely, 2^111120001220 is an apocalyptic number.

111120001220 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 111120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128580608520).

111120001220 is an abundant number, since it is smaller than the sum of its proper divisors (146041215820).

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

111120001220 is a wasteful number, since it uses less digits than its factorization.

111120001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 111120001220 its reverse (22100021111), we get a palindrome (133220022331).

The spelling of 111120001220 in words is "one hundred eleven billion, one hundred twenty million, one thousand, two hundred twenty".