111022122120 has 512 divisors, whose sum is σ = 416742036480. Its totient is φ = 23038525440.

The previous prime is 111022122119. The next prime is 111022122121. The reversal of 111022122120 is 21221220111.

It is an interprime number because it is at equal distance from previous prime (111022122119) and next prime (111022122121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111022122120.

It is not an unprimeable number, because it can be changed into a prime (111022122121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297646254 + ... + 297646626.

It is an arithmetic number, because the mean of its divisors is an integer number (813949290).

Almost surely, 2^111022122120 is an apocalyptic number.

111022122120 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 111022122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208371018240).

111022122120 is an abundant number, since it is smaller than the sum of its proper divisors (305719914360).

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

111022122120 is a wasteful number, since it uses less digits than its factorization.

111022122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111022122120 its reverse (21221220111), we get a palindrome (132243342231).

The spelling of 111022122120 in words is "one hundred eleven billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".