12278348626824 has 192 divisors, whose sum is σ = 40007605248000. Its totient is φ = 3323216833920.

The previous prime is 12278348626793. The next prime is 12278348626931. The reversal of 12278348626824 is 42862684387221.

12278348626824 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 348 + 6 + 268 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156231459 + ... + 156310029.

It is an arithmetic number, because the mean of its divisors is an integer number (208372944000).

Almost surely, 2^{12278348626824} is an apocalyptic number.

12278348626824 is a gapful number since it is divisible by the number (14) 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 12278348626824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003802624000).

12278348626824 is an abundant number, since it is smaller than the sum of its proper divisors (27729256621176).

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

12278348626824 is a wasteful number, since it uses less digits than its factorization.

12278348626824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94928 (or 94921 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 12278348626824 in words is "twelve trillion, two hundred seventy-eight billion, three hundred forty-eight million, six hundred twenty-six thousand, eight hundred twenty-four".