12224238458880 has 768 divisors, whose sum is σ = 47577269376000. Its totient is φ = 2617233113088.

The previous prime is 12224238458869. The next prime is 12224238458903. The reversal of 12224238458880 is 8885483242221.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 12224238458880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363615832 + ... + 363649448.

It is an arithmetic number, because the mean of its divisors is an integer number (61949569500).

Almost surely, 2^{12224238458880} is an apocalyptic number.

12224238458880 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 12224238458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788634688000).

12224238458880 is an abundant number, since it is smaller than the sum of its proper divisors (35353030917120).

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

12224238458880 is a wasteful number, since it uses less digits than its factorization.

12224238458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33762 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 57.

The spelling of 12224238458880 in words is "twelve trillion, two hundred twenty-four billion, two hundred thirty-eight million, four hundred fifty-eight thousand, eight hundred eighty".