1223405120 has 112 divisors (see below), whose sum is σ = 3386206080. Its totient is φ = 412299264.

The previous prime is 1223405101. The next prime is 1223405123. The reversal of 1223405120 is 215043221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1223405092 and 1223405101.

It is not an unprimeable number, because it can be changed into a prime (1223405123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127532 + ... + 136788.

Almost surely, 2^1223405120 is an apocalyptic number.

1223405120 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 1223405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693103040).

1223405120 is an abundant number, since it is smaller than the sum of its proper divisors (2162800960).

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

1223405120 is an equidigital number, since it uses as much as digits as its factorization.

1223405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1223405120 is about 34977.2085793020. The cubic root of 1223405120 is about 1069.5229247125.

Adding to 1223405120 its reverse (215043221), we get a palindrome (1438448341).

The spelling of 1223405120 in words is "one billion, two hundred twenty-three million, four hundred five thousand, one hundred twenty".