12221239875840 has 360 divisors, whose sum is σ = 46031408660160. Its totient is φ = 3087470628864.

The previous prime is 12221239875827. The next prime is 12221239875841. The reversal of 12221239875840 is 4857893212221.

It is a happy number.

12221239875840 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 2 + 39 + 8 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (12221239875841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1132044 + ... + 5071883.

It is an arithmetic number, because the mean of its divisors is an integer number (127865024056).

Almost surely, 2^{12221239875840} is an apocalyptic number.

12221239875840 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 12221239875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015704330080).

12221239875840 is an abundant number, since it is smaller than the sum of its proper divisors (33810168784320).

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

12221239875840 is an equidigital number, since it uses as much as digits as its factorization.

12221239875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203979 (or 6203956 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12221239875840 in words is "twelve trillion, two hundred twenty-one billion, two hundred thirty-nine million, eight hundred seventy-five thousand, eight hundred forty".