11424242122400 has 36 divisors (see below), whose sum is σ = 27889431083262. Its totient is φ = 4569696848640.

The previous prime is 11424242122393. The next prime is 11424242122409. The reversal of 11424242122400 is 422124242411.

It can be written as a sum of positive squares in 3 ways, for example, as 10415671838224 + 1008570284176 = 3227332^2 + 1004276^2 .

It is not an unprimeable number, because it can be changed into a prime (11424242122409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7140150527 + ... + 7140152126.

Almost surely, 2^{11424242122400} is an apocalyptic number.

11424242122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424242122400 is an abundant number, since it is smaller than the sum of its proper divisors (16465188960862).

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

11424242122400 is a wasteful number, since it uses less digits than its factorization.

11424242122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280302673 (or 14280302660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 11424242122400 its reverse (422124242411), we get a palindrome (11846366364811).

The spelling of 11424242122400 in words is "eleven trillion, four hundred twenty-four billion, two hundred forty-two million, one hundred twenty-two thousand, four hundred".