12703122432 has 1232 divisors, whose sum is σ = 54126479232. Its totient is φ = 2866544640.

The previous prime is 12703122431. The next prime is 12703122473. The reversal of 12703122432 is 23422130721.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a super-2 number, since 2×12703122432² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12703122396 and 12703122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12703122431) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 747242488 + ... + 747242504.

Almost surely, 2^12703122432 is an apocalyptic number.

12703122432 is a gapful number since it is divisible by the number (12) 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 12703122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27063239616).

12703122432 is an abundant number, since it is smaller than the sum of its proper divisors (41423356800).

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

12703122432 is a wasteful number, since it uses less digits than its factorization.

12703122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

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

The spelling of 12703122432 in words is "twelve billion, seven hundred three million, one hundred twenty-two thousand, four hundred thirty-two".