12834636145120 has 48 divisors (see below), whose sum is σ = 30324576871008. Its totient is φ = 5133389022720.

The previous prime is 12834636145117. The next prime is 12834636145147. The reversal of 12834636145120 is 2154163643821.

It is a super-3 number, since 3×12834636145120³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1863171 + ... + 5398210.

It is an arithmetic number, because the mean of its divisors is an integer number (631762018146).

Almost surely, 2^{12834636145120} is an apocalyptic number.

12834636145120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12834636145120 is an abundant number, since it is smaller than the sum of its proper divisors (17489940725888).

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

12834636145120 is a wasteful number, since it uses less digits than its factorization.

12834636145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272443 (or 7272435 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

Adding to 12834636145120 its reverse (2154163643821), we get a palindrome (14988799788941).

The spelling of 12834636145120 in words is "twelve trillion, eight hundred thirty-four billion, six hundred thirty-six million, one hundred forty-five thousand, one hundred twenty".