12260505600 has 864 divisors, whose sum is σ = 52677097200. Its totient is φ = 2786918400.

The previous prime is 12260505599. The next prime is 12260505613. The reversal of 12260505600 is 650506221.

12260505600 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 50 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737510 + ... + 67737690.

Almost surely, 2^12260505600 is an apocalyptic number.

12260505600 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 12260505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338548600).

12260505600 is an abundant number, since it is smaller than the sum of its proper divisors (40416591600).

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

12260505600 is a wasteful number, since it uses less digits than its factorization.

12260505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12260505600 in words is "twelve billion, two hundred sixty million, five hundred five thousand, six hundred".