2224412128512 has 648 divisors, whose sum is σ = 7723462586112. Its totient is φ = 613276876800.

The previous prime is 2224412128483. The next prime is 2224412128553. The reversal of 2224412128512 is 2158212144222.

2224412128512 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 4 + 12 + 128 + 512 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1634394712 + ... + 1634396072.

It is an arithmetic number, because the mean of its divisors is an integer number (11918923744).

Almost surely, 2^{2224412128512} 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 2224412128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861731293056).

2224412128512 is an abundant number, since it is smaller than the sum of its proper divisors (5499050457600).

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

2224412128512 is a wasteful number, since it uses less digits than its factorization.

2224412128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1871 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 2224412128512 in words is "two trillion, two hundred twenty-four billion, four hundred twelve million, one hundred twenty-eight thousand, five hundred twelve".