12048856243200 has 1584 divisors, whose sum is σ = 52679280363840. Its totient is φ = 2568423997440.

The previous prime is 12048856243133. The next prime is 12048856243219. The reversal of 12048856243200 is 234265884021.

12048856243200 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 88 + 562 + 4 + 3 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3098186856 + ... + 3098190744.

Almost surely, 2^{12048856243200} is an apocalyptic number.

12048856243200 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 12048856243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26339640181920).

12048856243200 is an abundant number, since it is smaller than the sum of its proper divisors (40630424120640).

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

12048856243200 is a wasteful number, since it uses less digits than its factorization.

12048856243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 12048856243200 in words is "twelve trillion, forty-eight billion, eight hundred fifty-six million, two hundred forty-three thousand, two hundred".