12173552868420 has 768 divisors, whose sum is σ = 40747905515520. Its totient is φ = 3011904000000.

The previous prime is 12173552868409. The next prime is 12173552868431. The reversal of 12173552868420 is 2486825537121.

It is a happy number.

12173552868420 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 3 + 552 + 8 + 6 + 84 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12173552868409) and next prime (12173552868431).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 10467370759 + ... + 10467371921.

It is an arithmetic number, because the mean of its divisors is an integer number (53057168640).

Almost surely, 2^{12173552868420} is an apocalyptic number.

12173552868420 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 12173552868420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373952757760).

12173552868420 is an abundant number, since it is smaller than the sum of its proper divisors (28574352647100).

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

12173552868420 is a wasteful number, since it uses less digits than its factorization.

12173552868420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 12173552868420 in words is "twelve trillion, one hundred seventy-three billion, five hundred fifty-two million, eight hundred sixty-eight thousand, four hundred twenty".