12073035786144 has 48 divisors (see below), whose sum is σ = 31691901447360. Its totient is φ = 4024322086400.

The previous prime is 12073035786143. The next prime is 12073035786179. The reversal of 12073035786144 is 44168753037021.

12073035786144 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 (48).

It is a super-3 number, since 3×12073035786144³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12073035786143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27510844 + ... + 27946244.

It is an arithmetic number, because the mean of its divisors is an integer number (660247946820).

Almost surely, 2^{12073035786144} is an apocalyptic number.

It is an amenable number.

12073035786144 is an abundant number, since it is smaller than the sum of its proper divisors (19618865661216).

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

12073035786144 is a wasteful number, since it uses less digits than its factorization.

12073035786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724253 (or 724245 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 12073035786144 in words is "twelve trillion, seventy-three billion, thirty-five million, seven hundred eighty-six thousand, one hundred forty-four".