12261202848 has 384 divisors, whose sum is σ = 38864448000. Its totient is φ = 3750912000.

The previous prime is 12261202831. The next prime is 12261202883. The reversal of 12261202848 is 84820216221.

12261202848 is a `hidden beast` number, since 12 + 2 + 612 + 0 + 28 + 4 + 8 = 666.

12261202848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12261202848² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82289878 + ... + 82290026.

It is an arithmetic number, because the mean of its divisors is an integer number (101209500).

Almost surely, 2^12261202848 is an apocalyptic number.

12261202848 is a gapful number since it is divisible by the number (18) 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 12261202848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224000).

12261202848 is an abundant number, since it is smaller than the sum of its proper divisors (26603245152).

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

12261202848 is a wasteful number, since it uses less digits than its factorization.

12261202848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12261202848 in words is "twelve billion, two hundred sixty-one million, two hundred two thousand, eight hundred forty-eight".