12703122432000 has 6272 divisors, whose sum is σ = 67578720588288. Its totient is φ = 2293235712000.

The previous prime is 12703122431969. The next prime is 12703122432029. The reversal of 12703122432000 is 23422130721.

12703122432000 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 312 + 24 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×12703122432000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 747242495992 + ... + 747242496008.

Almost surely, 2^{12703122432000} is an apocalyptic number.

12703122432000 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 12703122432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33789360294144).

12703122432000 is an abundant number, since it is smaller than the sum of its proper divisors (54875598156288).

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

12703122432000 is an equidigital number, since it uses as much as digits as its factorization.

12703122432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12703122432000 its reverse (23422130721), we get a palindrome (12726544562721).

The spelling of 12703122432000 in words is "twelve trillion, seven hundred three billion, one hundred twenty-two million, four hundred thirty-two thousand".