12002142400320 has 112 divisors (see below), whose sum is σ = 40112423346240. Its totient is φ = 3032120180736.

The previous prime is 12002142400319. The next prime is 12002142400343. The reversal of 12002142400320 is 2300424120021.

It is a super-2 number, since 2×12002142400320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328987857 + ... + 329024336.

It is an arithmetic number, because the mean of its divisors is an integer number (358146637020).

Almost surely, 2^{12002142400320} is an apocalyptic number.

12002142400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002142400320 is an abundant number, since it is smaller than the sum of its proper divisors (28110280945920).

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

12002142400320 is a wasteful number, since it uses less digits than its factorization.

12002142400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658012232 (or 658012222 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12002142400320 its reverse (2300424120021), we get a palindrome (14302566520341).

The spelling of 12002142400320 in words is "twelve trillion, two billion, one hundred forty-two million, four hundred thousand, three hundred twenty".