12661137040 has 40 divisors (see below), whose sum is σ = 29450311488. Its totient is φ = 5062189440.

The previous prime is 12661137019. The next prime is 12661137043. The reversal of 12661137040 is 4073116621.

12661137040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12661137040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12661136993 and 12661137011.

It is not an unprimeable number, because it can be changed into a prime (12661137043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150639 + ... + 219121.

Almost surely, 2^12661137040 is an apocalyptic number.

12661137040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12661137040 is an abundant number, since it is smaller than the sum of its proper divisors (16789174448).

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

12661137040 is a wasteful number, since it uses less digits than its factorization.

12661137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70807 (or 70801 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 12661137040 in words is "twelve billion, six hundred sixty-one million, one hundred thirty-seven thousand, forty".