824071220000 has 450 divisors, whose sum is σ = 2383279808679. Its totient is φ = 280381920000.

The previous prime is 824071219997. The next prime is 824071220099. The reversal of 824071220000 is 22170428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 190525266064 + 633545953936 = 436492^2 + 795956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=641900.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6290619935 + ... + 6290620065.

Almost surely, 2^824071220000 is an apocalyptic number.

824071220000 is a gapful number since it is divisible by the number (80) 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 824071220000

824071220000 is an abundant number, since it is smaller than the sum of its proper divisors (1559208588679).

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

824071220000 is an frugal number, since it uses more digits than its factorization.

824071220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 824071220000 its reverse (22170428), we get a palindrome (824093390428).

The spelling of 824071220000 in words is "eight hundred twenty-four billion, seventy-one million, two hundred twenty thousand".