1224505128 has 128 divisors (see below), whose sum is σ = 3852288000. Its totient is φ = 315083520.

The previous prime is 1224505127. The next prime is 1224505129. The reversal of 1224505128 is 8215054221.

It is an interprime number because it is at equal distance from previous prime (1224505127) and next prime (1224505129).

It is a junction number, because it is equal to n+sod(n) for n = 1224505095 and 1224505104.

It is not an unprimeable number, because it can be changed into a prime (1224505127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198393 + ... + 204471.

It is an arithmetic number, because the mean of its divisors is an integer number (30096000).

Almost surely, 2^1224505128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224505128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926144000).

1224505128 is an abundant number, since it is smaller than the sum of its proper divisors (2627782872).

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

1224505128 is a wasteful number, since it uses less digits than its factorization.

1224505128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 1224505128 is about 34992.9296858665. The cubic root of 1224505128 is about 1069.8433776635.

Adding to 1224505128 its reverse (8215054221), we get a palindrome (9439559349).

The spelling of 1224505128 in words is "one billion, two hundred twenty-four million, five hundred five thousand, one hundred twenty-eight".