12281077093824 has 336 divisors, whose sum is σ = 43914641412096. Its totient is φ = 3187922688000.

The previous prime is 12281077093819. The next prime is 12281077093847. The reversal of 12281077093824 is 42839077018221.

12281077093824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×12281077093824⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 72519649 + ... + 72688799.

It is an arithmetic number, because the mean of its divisors is an integer number (130698337536).

Almost surely, 2^{12281077093824} is an apocalyptic number.

12281077093824 is a gapful number since it is divisible by the number (14) 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 12281077093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21957320706048).

12281077093824 is an abundant number, since it is smaller than the sum of its proper divisors (31633564318272).

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

12281077093824 is a wasteful number, since it uses less digits than its factorization.

12281077093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170824 (or 170811 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12281077093824 in words is "twelve trillion, two hundred eighty-one billion, seventy-seven million, ninety-three thousand, eight hundred twenty-four".