12053456307200 has 2112 divisors, whose sum is σ = 41854377148416. Its totient is φ = 3326607360000.

The previous prime is 12053456307083. The next prime is 12053456307247. The reversal of 12053456307200 is 270365435021.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42591718259 + ... + 42591718541.

Almost surely, 2^{12053456307200} is an apocalyptic number.

12053456307200 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 12053456307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20927188574208).

12053456307200 is an abundant number, since it is smaller than the sum of its proper divisors (29800920841216).

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

12053456307200 is a wasteful number, since it uses less digits than its factorization.

12053456307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 12053456307200 in words is "twelve trillion, fifty-three billion, four hundred fifty-six million, three hundred seven thousand, two hundred".