1224123040 has 96 divisors (see below), whose sum is σ = 3411846144. Its totient is φ = 406149120.

The previous prime is 1224123023. The next prime is 1224123053. The reversal of 1224123040 is 403214221.

It is a junction number, because it is equal to n+sod(n) for n = 1224122999 and 1224123017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17092 + ... + 52348.

It is an arithmetic number, because the mean of its divisors is an integer number (35540064).

Almost surely, 2^1224123040 is an apocalyptic number.

1224123040 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 1224123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705923072).

1224123040 is an abundant number, since it is smaller than the sum of its proper divisors (2187723104).

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

1224123040 is a wasteful number, since it uses less digits than its factorization.

1224123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35310 (or 35302 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1224123040 is about 34987.4697570430. The cubic root of 1224123040 is about 1069.7320900280.

Adding to 1224123040 its reverse (403214221), we get a palindrome (1627337261).

The spelling of 1224123040 in words is "one billion, two hundred twenty-four million, one hundred twenty-three thousand, forty".