12156309299200 has 1008 divisors, whose sum is σ = 35804290784976. Its totient is φ = 4045825638400.

The previous prime is 12156309299171. The next prime is 12156309299231. The reversal of 12156309299200 is 299290365121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107577958344 + ... + 107577958456.

It is an arithmetic number, because the mean of its divisors is an integer number (35520129747).

Almost surely, 2^{12156309299200} is an apocalyptic number.

12156309299200 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 12156309299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902145392488).

12156309299200 is an abundant number, since it is smaller than the sum of its proper divisors (23647981485776).

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

12156309299200 is a wasteful number, since it uses less digits than its factorization.

12156309299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The spelling of 12156309299200 in words is "twelve trillion, one hundred fifty-six billion, three hundred nine million, two hundred ninety-nine thousand, two hundred".