12322211063040 has 576 divisors, whose sum is σ = 45335220134400. Its totient is φ = 3165555326976.

The previous prime is 12322211063039. The next prime is 12322211063083. The reversal of 12322211063040 is 4036011222321.

12322211063040 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 21 + 1 + 0 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12322211062995 and 12322211063013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458010229 + ... + 458037131.

It is an arithmetic number, because the mean of its divisors is an integer number (78706979400).

Almost surely, 2^{12322211063040} is an apocalyptic number.

12322211063040 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 12322211063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22667610067200).

12322211063040 is an abundant number, since it is smaller than the sum of its proper divisors (33013009071360).

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

12322211063040 is a wasteful number, since it uses less digits than its factorization.

12322211063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27419 (or 27399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12322211063040 its reverse (4036011222321), we get a palindrome (16358222285361).

The spelling of 12322211063040 in words is "twelve trillion, three hundred twenty-two billion, two hundred eleven million, sixty-three thousand, forty".