12606054040300 has 288 divisors, whose sum is σ = 32735012825088. Its totient is φ = 4119903406080.

The previous prime is 12606054040273. The next prime is 12606054040427. The reversal of 12606054040300 is 304045060621.

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, 8711854177 + ... + 8711855623.

It is an arithmetic number, because the mean of its divisors is an integer number (113663238976).

Almost surely, 2^{12606054040300} is an apocalyptic number.

12606054040300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12606054040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16367506412544).

12606054040300 is an abundant number, since it is smaller than the sum of its proper divisors (20128958784788).

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

12606054040300 is a wasteful number, since it uses less digits than its factorization.

12606054040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 12606054040300 in words is "twelve trillion, six hundred six billion, fifty-four million, forty thousand, three hundred".