12221048013888 has 224 divisors, whose sum is σ = 38012477045760. Its totient is φ = 3393105315840.

The previous prime is 12221048013877. The next prime is 12221048013901. The reversal of 12221048013888 is 88831084012221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5906683 + ... + 7702661.

It is an arithmetic number, because the mean of its divisors is an integer number (169698558240).

Almost surely, 2^{12221048013888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221048013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19006238522880).

12221048013888 is an abundant number, since it is smaller than the sum of its proper divisors (25791429031872).

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

12221048013888 is a wasteful number, since it uses less digits than its factorization.

12221048013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796145 (or 1796135 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 12221048013888 in words is "twelve trillion, two hundred twenty-one billion, forty-eight million, thirteen thousand, eight hundred eighty-eight".