12320622523440 has 1920 divisors, whose sum is σ = 55562577100800. Its totient is φ = 2453583052800.

The previous prime is 12320622523439. The next prime is 12320622523481. The reversal of 12320622523440 is 4432522602321.

12320622523440 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 62 + 252 + 344 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12320622523395 and 12320622523404.

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 383 ways as a sum of consecutive naturals, for example, 6181947084 + ... + 6181949076.

It is an arithmetic number, because the mean of its divisors is an integer number (28938842240).

Almost surely, 2^{12320622523440} is an apocalyptic number.

12320622523440 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 12320622523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781288550400).

12320622523440 is an abundant number, since it is smaller than the sum of its proper divisors (43241954577360).

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

12320622523440 is a wasteful number, since it uses less digits than its factorization.

12320622523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 12320622523440 in words is "twelve trillion, three hundred twenty billion, six hundred twenty-two million, five hundred twenty-three thousand, four hundred forty".