12048488485200 has 180 divisors, whose sum is σ = 42225579376188. Its totient is φ = 3181118976000.

The previous prime is 12048488485093. The next prime is 12048488485211. The reversal of 12048488485200 is 258488484021.

It is a happy number.

12048488485200 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 84 + 88 + 485 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1628349540624 + 10420138944576 = 1276068^2 + 3228024^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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, 16204729 + ... + 16931928.

Almost surely, 2^{12048488485200} is an apocalyptic number.

12048488485200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12048488485200 is an abundant number, since it is smaller than the sum of its proper divisors (30177090890988).

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

12048488485200 is a wasteful number, since it uses less digits than its factorization.

12048488485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33136782 (or 33136768 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 12048488485200 in words is "twelve trillion, forty-eight billion, four hundred eighty-eight million, four hundred eighty-five thousand, two hundred".