12883290125661 has 8 divisors (see below), whose sum is σ = 19086355741760. Its totient is φ = 8588860083756.

The previous prime is 12883290125617. The next prime is 12883290125759. The reversal of 12883290125661 is 16652109238821.

12883290125661 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 329 + 0 + 1 + 256 + 61 = 666.

It is not a de Polignac number, because 12883290125661 - 2³⁷ = 12745851172189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12883290125598 and 12883290125607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883290121661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238579446745 + ... + 238579446798.

It is an arithmetic number, because the mean of its divisors is an integer number (2385794467720).

Almost surely, 2^{12883290125661} is an apocalyptic number.

It is an amenable number.

12883290125661 is a deficient number, since it is larger than the sum of its proper divisors (6203065616099).

12883290125661 is an equidigital number, since it uses as much as digits as its factorization.

12883290125661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477158893552 (or 477158893546 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12883290125661 in words is "twelve trillion, eight hundred eighty-three billion, two hundred ninety million, one hundred twenty-five thousand, six hundred sixty-one".