12535301409120 has 480 divisors, whose sum is σ = 50893932773376. Its totient is φ = 2846233728000.

The previous prime is 12535301409031. The next prime is 12535301409121. The reversal of 12535301409120 is 2190410353521.

It is a happy number.

12535301409120 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 530 + 14 + 0 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535301409121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13241185 + ... + 14156255.

Almost surely, 2^{12535301409120} is an apocalyptic number.

12535301409120 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 12535301409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446966386688).

12535301409120 is an abundant number, since it is smaller than the sum of its proper divisors (38358631364256).

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

12535301409120 is a wasteful number, since it uses less digits than its factorization.

12535301409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915256 (or 915239 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12535301409120 in words is "twelve trillion, five hundred thirty-five billion, three hundred one million, four hundred nine thousand, one hundred twenty".