1224103024144 has 320 divisors, whose sum is σ = 3251071918080. Its totient is φ = 431101440000.

The previous prime is 1224103024091. The next prime is 1224103024169. The reversal of 1224103024144 is 4414203014221.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 171703972 + ... + 171711100.

It is an arithmetic number, because the mean of its divisors is an integer number (10159599744).

Almost surely, 2^{1224103024144} is an apocalyptic number.

1224103024144 is a gapful number since it is divisible by the number (14) 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 1224103024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625535959040).

1224103024144 is an abundant number, since it is smaller than the sum of its proper divisors (2026968893936).

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

1224103024144 is a wasteful number, since it uses less digits than its factorization.

1224103024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1224103024144 its reverse (4414203014221), we get a palindrome (5638306038365).

The spelling of 1224103024144 in words is "one trillion, two hundred twenty-four billion, one hundred three million, twenty-four thousand, one hundred forty-four".