12900240000 has 960 divisors, whose sum is σ = 52194542400. Its totient is φ = 3041280000.

The previous prime is 12900239993. The next prime is 12900240053. The reversal of 12900240000 is 4200921.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 314639980 + ... + 314640020.

It is an arithmetic number, because the mean of its divisors is an integer number (54369315).

Almost surely, 2^12900240000 is an apocalyptic number.

12900240000 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 12900240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097271200).

12900240000 is an abundant number, since it is smaller than the sum of its proper divisors (39294302400).

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

12900240000 is a wasteful number, since it uses less digits than its factorization.

12900240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12900240000 its reverse (4200921), we get a palindrome (12904440921).

The spelling of 12900240000 in words is "twelve billion, nine hundred million, two hundred forty thousand".