12309920179200 has 1980 divisors, whose sum is σ = 53613708802500. Its totient is φ = 2782459330560.

The previous prime is 12309920179111. The next prime is 12309920179273. The reversal of 12309920179200 is 297102990321.

12309920179200 is a `hidden beast` number, since 1 + 230 + 9 + 9 + 201 + 7 + 9 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 550397804544 + 11759522374656 = 741888^2 + 3429216^2 .

It is a super-2 number, since 2×12309920179200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9855820176 + ... + 9855821424.

Almost surely, 2^{12309920179200} is an apocalyptic number.

12309920179200 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 12309920179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26806854401250).

12309920179200 is an abundant number, since it is smaller than the sum of its proper divisors (41303788623300).

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

12309920179200 is a wasteful number, since it uses less digits than its factorization.

12309920179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 12309920179200 in words is "twelve trillion, three hundred nine billion, nine hundred twenty million, one hundred seventy-nine thousand, two hundred".