12057510641 has 16 divisors (see below), whose sum is σ = 13661524800. Its totient is φ = 10541160000.

The previous prime is 12057510617. The next prime is 12057510671. The reversal of 12057510641 is 14601575021.

It is a cyclic number.

It is not a de Polignac number, because 12057510641 - 2¹⁰ = 12057509617 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12057510598 and 12057510607.

It is not an unprimeable number, because it can be changed into a prime (12057510611) 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, 4775 + ... + 155363.

It is an arithmetic number, because the mean of its divisors is an integer number (853845300).

Almost surely, 2^12057510641 is an apocalyptic number.

12057510641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12057510641 is a deficient number, since it is larger than the sum of its proper divisors (1604014159).

12057510641 is a wasteful number, since it uses less digits than its factorization.

12057510641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150880.

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 12057510641 in words is "twelve billion, fifty-seven million, five hundred ten thousand, six hundred forty-one".