12932117440 has 168 divisors, whose sum is σ = 35458767792. Its totient is φ = 4454645760.

The previous prime is 12932117437. The next prime is 12932117453. The reversal of 12932117440 is 4471123921.

It is a super-2 number, since 2×12932117440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12932117396 and 12932117405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265632 + ... + 1275808.

It is an arithmetic number, because the mean of its divisors is an integer number (211064094).

Almost surely, 2^12932117440 is an apocalyptic number.

12932117440 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 12932117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729383896).

12932117440 is an abundant number, since it is smaller than the sum of its proper divisors (22526650352).

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

12932117440 is a wasteful number, since it uses less digits than its factorization.

12932117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 12932117440 in words is "twelve billion, nine hundred thirty-two million, one hundred seventeen thousand, four hundred forty".