12441600000 has 540 divisors, whose sum is σ = 46587596328. Its totient is φ = 3317760000.

The previous prime is 12441599993. The next prime is 12441600011. The reversal of 12441600000 is 614421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12441600000 is a `hidden beast` number, since 1 + 24 + 41 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2488319998 + ... + 2488320002.

Almost surely, 2^12441600000 is an apocalyptic number.

12441600000 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 12441600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293798164).

12441600000 is an abundant number, since it is smaller than the sum of its proper divisors (34145996328).

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

12441600000 is an frugal number, since it uses more digits than its factorization.

12441600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 12441600000 in words is "twelve billion, four hundred forty-one million, six hundred thousand".