1122110110320 has 160 divisors (see below), whose sum is σ = 3604337075520. Its totient is φ = 288441753600.

The previous prime is 1122110110279. The next prime is 1122110110333. The reversal of 1122110110320 is 230110112211.

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 1122110110320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4163670 + ... + 4424970.

It is an arithmetic number, because the mean of its divisors is an integer number (22527106722).

Almost surely, 2^{1122110110320} is an apocalyptic number.

1122110110320 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 1122110110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802168537760).

1122110110320 is an abundant number, since it is smaller than the sum of its proper divisors (2482226965200).

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

1122110110320 is a wasteful number, since it uses less digits than its factorization.

1122110110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261963 (or 261957 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1122110110320 its reverse (230110112211), we get a palindrome (1352220222531).

The spelling of 1122110110320 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, one hundred ten thousand, three hundred twenty".