1123410120 has 256 divisors, whose sum is σ = 4031078400. Its totient is φ = 245038080.

The previous prime is 1123410089. The next prime is 1123410151. The reversal of 1123410120 is 210143211.

It is an interprime number because it is at equal distance from previous prime (1123410089) and next prime (1123410151).

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 1123410120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2606305 + ... + 2606735.

It is an arithmetic number, because the mean of its divisors is an integer number (15746400).

Almost surely, 2^1123410120 is an apocalyptic number.

1123410120 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 1123410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015539200).

1123410120 is an abundant number, since it is smaller than the sum of its proper divisors (2907668280).

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

1123410120 is a wasteful number, since it uses less digits than its factorization.

1123410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1123410120 is about 33517.3107513118. The cubic root of 1123410120 is about 1039.5517422253.

Adding to 1123410120 its reverse (210143211), we get a palindrome (1333553331).

The spelling of 1123410120 in words is "one billion, one hundred twenty-three million, four hundred ten thousand, one hundred twenty".