1123200120 has 256 divisors, whose sum is σ = 4018636800. Its totient is φ = 245790720.

The previous prime is 1123200109. The next prime is 1123200121. The reversal of 1123200120 is 210023211.

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 = 1123200096 and 1123200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123200121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2206426 + ... + 2206934.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2^1123200120 is an apocalyptic number.

1123200120 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 1123200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009318400).

1123200120 is an abundant number, since it is smaller than the sum of its proper divisors (2895436680).

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

1123200120 is a wasteful number, since it uses less digits than its factorization.

1123200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1123200120 is about 33514.1778953326. The cubic root of 1123200120 is about 1039.4869634278.

Adding to 1123200120 its reverse (210023211), we get a palindrome (1333223331).

The spelling of 1123200120 in words is "one billion, one hundred twenty-three million, two hundred thousand, one hundred twenty".