122448324096 has 240 divisors, whose sum is σ = 404735595264. Its totient is φ = 34911055872.

The previous prime is 122448324091. The next prime is 122448324107. The reversal of 122448324096 is 690423844221.

122448324096 is a `hidden beast` number, since 1 + 2 + 244 + 83 + 240 + 96 = 666.

It is a super-4 number, since 4×122448324096⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122448324091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16220995 + ... + 16228541.

Almost surely, 2^122448324096 is an apocalyptic number.

122448324096 is a gapful number since it is divisible by the number (16) 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 122448324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202367797632).

122448324096 is an abundant number, since it is smaller than the sum of its proper divisors (282287271168).

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

122448324096 is an equidigital number, since it uses as much as digits as its factorization.

122448324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 122448324096 in words is "one hundred twenty-two billion, four hundred forty-eight million, three hundred twenty-four thousand, ninety-six".