12048040569600 has 3240 divisors, whose sum is σ = 56997357123168. Its totient is φ = 2450895667200.

The previous prime is 12048040569569. The next prime is 12048040569629. The reversal of 12048040569600 is 696504084021.

12048040569600 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 80 + 4 + 0 + 569 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 22269945330 + ... + 22269945870.

Almost surely, 2^{12048040569600} is an apocalyptic number.

12048040569600 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 12048040569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498678561584).

12048040569600 is an abundant number, since it is smaller than the sum of its proper divisors (44949316553568).

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

12048040569600 is a wasteful number, since it uses less digits than its factorization.

12048040569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12048040569600 in words is "twelve trillion, forty-eight billion, forty million, five hundred sixty-nine thousand, six hundred".