1224112412432 has 360 divisors, whose sum is σ = 3200015951496. Its totient is φ = 449455620096.

The previous prime is 1224112412429. The next prime is 1224112412461. The reversal of 1224112412432 is 2342142114221.

It can be written as a sum of positive squares in 12 ways, for example, as 253367262736 + 970745149696 = 503356^2 + 985264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1224112412395 and 1224112412404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215017778 + ... + 215023470.

Almost surely, 2^{1224112412432} 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 1224112412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600007975748).

1224112412432 is an abundant number, since it is smaller than the sum of its proper divisors (1975903539064).

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

1224112412432 is a wasteful number, since it uses less digits than its factorization.

1224112412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5805 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 1224112412432 its reverse (2342142114221), we get a palindrome (3566254526653).

The spelling of 1224112412432 in words is "one trillion, two hundred twenty-four billion, one hundred twelve million, four hundred twelve thousand, four hundred thirty-two".