122443741647360 has 3840 divisors, whose sum is σ = 553301043609600. Its totient is φ = 24379813527552.

The previous prime is 122443741647287. The next prime is 122443741647397. The reversal of 122443741647360 is 63746147344221.

It is a happy number.

122443741647360 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 43 + 74 + 1 + 6 + 473 + 60 = 666.

122443741647360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a junction number, because it is equal to n+sod(n) for n = 122443741647297 and 122443741647306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 201719508177 + ... + 201719508783.

It is an arithmetic number, because the mean of its divisors is an integer number (144088813440).

Almost surely, 2^{122443741647360} is an apocalyptic number.

122443741647360 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 122443741647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276650521804800).

122443741647360 is an abundant number, since it is smaller than the sum of its proper divisors (430857301962240).

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

122443741647360 is a wasteful number, since it uses less digits than its factorization.

122443741647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 122443741647360 in words is "one hundred twenty-two trillion, four hundred forty-three billion, seven hundred forty-one million, six hundred forty-seven thousand, three hundred sixty".