12260148035814 has 224 divisors, whose sum is σ = 32063971899456. Its totient is φ = 3441633960960.

The previous prime is 12260148035801. The next prime is 12260148035867. The reversal of 12260148035814 is 41853084106221.

12260148035814 is a `hidden beast` number, since 1 + 2 + 2 + 60 + 1 + 4 + 8 + 0 + 3 + 581 + 4 = 666.

It is a super-2 number, since 2×12260148035814² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12260148035814.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 583333834 + ... + 583354850.

It is an arithmetic number, because the mean of its divisors is an integer number (143142731694).

Almost surely, 2^{12260148035814} is an apocalyptic number.

12260148035814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12260148035814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031985949728).

12260148035814 is an abundant number, since it is smaller than the sum of its proper divisors (19803823863642).

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

12260148035814 is an equidigital number, since it uses as much as digits as its factorization.

12260148035814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042 (or 22027 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12260148035814 in words is "twelve trillion, two hundred sixty billion, one hundred forty-eight million, thirty-five thousand, eight hundred fourteen".