12063435434400 has 576 divisors, whose sum is σ = 46895914469376. Its totient is φ = 2633596416000.

The previous prime is 12063435434389. The next prime is 12063435434441. The reversal of 12063435434400 is 443453436021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266979810 + ... + 267024990.

It is an arithmetic number, because the mean of its divisors is an integer number (81416518176).

Almost surely, 2^{12063435434400} is an apocalyptic number.

12063435434400 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 12063435434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447957234688).

12063435434400 is an abundant number, since it is smaller than the sum of its proper divisors (34832479034976).

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

12063435434400 is a wasteful number, since it uses less digits than its factorization.

12063435434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45925 (or 45912 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 12063435434400 in words is "twelve trillion, sixty-three billion, four hundred thirty-five million, four hundred thirty-four thousand, four hundred".