12177340340 has 96 divisors (see below), whose sum is σ = 29149618176. Its totient is φ = 4229850240.

The previous prime is 12177340319. The next prime is 12177340349. The reversal of 12177340340 is 4304377121.

It is a junction number, because it is equal to n+sod(n) for n = 12177340297 and 12177340306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12177340349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5681309 + ... + 5683451.

It is an arithmetic number, because the mean of its divisors is an integer number (303641856).

Almost surely, 2^12177340340 is an apocalyptic number.

12177340340 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 12177340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574809088).

12177340340 is an abundant number, since it is smaller than the sum of its proper divisors (16972277836).

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

12177340340 is a wasteful number, since it uses less digits than its factorization.

12177340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 12177340340 in words is "twelve billion, one hundred seventy-seven million, three hundred forty thousand, three hundred forty".