1122111120 has 320 divisors, whose sum is σ = 4119736320. Its totient is φ = 249993216.

The previous prime is 1122111119. The next prime is 1122111121. The reversal of 1122111120 is 211112211.

It is an interprime number because it is at equal distance from previous prime (1122111119) and next prime (1122111121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1122111096 and 1122111105.

It is not an unprimeable number, because it can be changed into a prime (1122111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363029 + ... + 1363851.

It is an arithmetic number, because the mean of its divisors is an integer number (12874176).

Almost surely, 2^1122111120 is an apocalyptic number.

1122111120 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 1122111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059868160).

1122111120 is an abundant number, since it is smaller than the sum of its proper divisors (2997625200).

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

1122111120 is a wasteful number, since it uses less digits than its factorization.

1122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1122111120 is about 33497.9271000461. The cubic root of 1122111120 is about 1039.1509095272.

Adding to 1122111120 its reverse (211112211), we get a palindrome (1333223331).

The spelling of 1122111120 in words is "one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".