12156960000 has 720 divisors, whose sum is σ = 44953610240. Its totient is φ = 2903040000.

The previous prime is 12156959933. The next prime is 12156960007. The reversal of 12156960000 is 6965121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12156960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12156960007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282719979 + ... + 282720021.

Almost surely, 2^12156960000 is an apocalyptic number.

12156960000 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 12156960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476805120).

12156960000 is an abundant number, since it is smaller than the sum of its proper divisors (32796650240).

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

12156960000 is an equidigital number, since it uses as much as digits as its factorization.

12156960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 12156960000 in words is "twelve billion, one hundred fifty-six million, nine hundred sixty thousand".