12260668654080 has 2240 divisors, whose sum is σ = 56318138908416. Its totient is φ = 2484338688000.

The previous prime is 12260668654067. The next prime is 12260668654081. The reversal of 12260668654080 is 8045686606221.

12260668654080 is a `hidden beast` number, since 1 + 22 + 606 + 6 + 8 + 6 + 5 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12260668654081) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5891718640 + ... + 5891720720.

Almost surely, 2^{12260668654080} is an apocalyptic number.

12260668654080 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 12260668654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28159069454208).

12260668654080 is an abundant number, since it is smaller than the sum of its proper divisors (44057470254336).

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

12260668654080 is an equidigital number, since it uses as much as digits as its factorization.

12260668654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 12260668654080 in words is "twelve trillion, two hundred sixty billion, six hundred sixty-eight million, six hundred fifty-four thousand, eighty".