12162960000 has 400 divisors, whose sum is σ = 45255583890. Its totient is φ = 3241728000.

The previous prime is 12162959993. The next prime is 12162960049. The reversal of 12162960000 is 6926121.

It can be written as a sum of positive squares in 5 ways, for example, as 358572096 + 11804387904 = 18936^2 + 108648^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479062 + ... + 6480938.

Almost surely, 2^12162960000 is an apocalyptic number.

12162960000 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 12162960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627791945).

12162960000 is an abundant number, since it is smaller than the sum of its proper divisors (33092623890).

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

12162960000 is an frugal number, since it uses more digits than its factorization.

12162960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12162960000 in words is "twelve billion, one hundred sixty-two million, nine hundred sixty thousand".