12735061141 has 16 divisors (see below), whose sum is σ = 14116939200. Its totient is φ = 11391998080.

The previous prime is 12735061121. The next prime is 12735061177. The reversal of 12735061141 is 14116053721.

It is a cyclic number.

It is not a de Polignac number, because 12735061141 - 2¹⁷ = 12734930069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735061121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139065 + ... + 211681.

It is an arithmetic number, because the mean of its divisors is an integer number (882308700).

Almost surely, 2^12735061141 is an apocalyptic number.

12735061141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12735061141 is a deficient number, since it is larger than the sum of its proper divisors (1381878059).

12735061141 is a wasteful number, since it uses less digits than its factorization.

12735061141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72884.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 12735061141 in words is "twelve billion, seven hundred thirty-five million, sixty-one thousand, one hundred forty-one".