1200431124321 has 64 divisors (see below), whose sum is σ = 1919874754560. Its totient is φ = 657602634240.

The previous prime is 1200431124307. The next prime is 1200431124349. The reversal of 1200431124321 is 1234211340021.

It is not a de Polignac number, because 1200431124321 - 2⁵ = 1200431124289 is a prime.

It is a super-2 number, since 2×1200431124321² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1200431124291 and 1200431124300.

It is not an unprimeable number, because it can be changed into a prime (1200431124821) 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 63 ways as a sum of consecutive naturals, for example, 4215180 + ... + 4490946.

It is an arithmetic number, because the mean of its divisors is an integer number (29998043040).

Almost surely, 2^{1200431124321} is an apocalyptic number.

1200431124321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1200431124321 is a deficient number, since it is larger than the sum of its proper divisors (719443630239).

1200431124321 is a wasteful number, since it uses less digits than its factorization.

1200431124321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276006.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1200431124321 its reverse (1234211340021), we get a palindrome (2434642464342).

The spelling of 1200431124321 in words is "one trillion, two hundred billion, four hundred thirty-one million, one hundred twenty-four thousand, three hundred twenty-one".