12261588345 has 48 divisors (see below), whose sum is σ = 22738872000. Its totient is φ = 6093740160.

The previous prime is 12261588293. The next prime is 12261588349. The reversal of 12261588345 is 54388516221.

12261588345 is a `hidden beast` number, since 1 + 2 + 2 + 61 + 588 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 12261588345 - 2⁷ = 12261588217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12261588345.

It is not an unprimeable number, because it can be changed into a prime (12261588349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65395 + ... + 169704.

It is an arithmetic number, because the mean of its divisors is an integer number (473726500).

Almost surely, 2^12261588345 is an apocalyptic number.

12261588345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12261588345 is a deficient number, since it is larger than the sum of its proper divisors (10477283655).

12261588345 is a wasteful number, since it uses less digits than its factorization.

12261588345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235190 (or 235187 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 12261588345 in words is "twelve billion, two hundred sixty-one million, five hundred eighty-eight thousand, three hundred forty-five".