12065419084800 has 528 divisors, whose sum is σ = 42285974095872. Its totient is φ = 3023634432000.

The previous prime is 12065419084793. The next prime is 12065419084841. The reversal of 12065419084800 is 848091456021.

It is a super-3 number, since 3×12065419084800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12065419084800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915219009 + ... + 915232191.

Almost surely, 2^{12065419084800} is an apocalyptic number.

12065419084800 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 12065419084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142987047936).

12065419084800 is an abundant number, since it is smaller than the sum of its proper divisors (30220555011072).

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

12065419084800 is a wasteful number, since it uses less digits than its factorization.

12065419084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13911 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 12065419084800 in words is "twelve trillion, sixty-five billion, four hundred nineteen million, eighty-four thousand, eight hundred".