12355064106135 has 32 divisors (see below), whose sum is σ = 20451638592000. Its totient is φ = 6361563901056.

The previous prime is 12355064106131. The next prime is 12355064106137. The reversal of 12355064106135 is 53160146055321.

It is a happy number.

12355064106135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12355064106135 - 2² = 12355064106131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12355064106131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3460246 + ... + 6056684.

It is an arithmetic number, because the mean of its divisors is an integer number (639113706000).

Almost surely, 2^{12355064106135} is an apocalyptic number.

12355064106135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12355064106135 is a deficient number, since it is larger than the sum of its proper divisors (8096574485865).

12355064106135 is a wasteful number, since it uses less digits than its factorization.

12355064106135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607415.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 12355064106135 in words is "twelve trillion, three hundred fifty-five billion, sixty-four million, one hundred six thousand, one hundred thirty-five".