12133440516105 has 96 divisors (see below), whose sum is σ = 22385816294400. Its totient is φ = 6058421360640.

The previous prime is 12133440516079. The next prime is 12133440516121. The reversal of 12133440516105 is 50161504433121.

12133440516105 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 34 + 4 + 0 + 5 + 1 + 610 + 5 = 666.

It is not a de Polignac number, because 12133440516105 - 2¹⁴ = 12133440499721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12133440516105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884935200 + ... + 884948910.

It is an arithmetic number, because the mean of its divisors is an integer number (233185586400).

Almost surely, 2^{12133440516105} is an apocalyptic number.

12133440516105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12133440516105 is a deficient number, since it is larger than the sum of its proper divisors (10252375778295).

12133440516105 is a wasteful number, since it uses less digits than its factorization.

12133440516105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19751 (or 19748 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 12133440516105 its reverse (50161504433121), we get a palindrome (62294944949226).

The spelling of 12133440516105 in words is "twelve trillion, one hundred thirty-three billion, four hundred forty million, five hundred sixteen thousand, one hundred five".