12035680145856 has 280 divisors, whose sum is σ = 36060500196864. Its totient is φ = 3968907932160.

The previous prime is 12035680145843. The next prime is 12035680145861. The reversal of 12035680145856 is 65854108653021.

12035680145856 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 56 + 8 + 0 + 1 + 4 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550493581 + ... + 550515443.

Almost surely, 2^{12035680145856} is an apocalyptic number.

12035680145856 is a gapful number since it is divisible by the number (16) 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 12035680145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030250098432).

12035680145856 is an abundant number, since it is smaller than the sum of its proper divisors (24024820051008).

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

12035680145856 is a wasteful number, since it uses less digits than its factorization.

12035680145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23021 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

Adding to 12035680145856 its reverse (65854108653021), we get a palindrome (77889788798877).

The spelling of 12035680145856 in words is "twelve trillion, thirty-five billion, six hundred eighty million, one hundred forty-five thousand, eight hundred fifty-six".