122381854848 has 216 divisors, whose sum is σ = 387505701765. Its totient is φ = 37045831680.

The previous prime is 122381854841. The next prime is 122381854873. The reversal of 122381854848 is 848458183221.

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.

122381854848 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 81 + 85 + 484 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88522910784 + 33858944064 = 297528^2 + 184008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247368.

It is a super-2 number, since 2×122381854848² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122381854794 and 122381854803.

It is not an unprimeable number, because it can be changed into a prime (122381854841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130609836 + ... + 130610772.

Almost surely, 2^122381854848 is an apocalyptic number.

122381854848 is a gapful number since it is divisible by the number (18) 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 122381854848

122381854848 is an abundant number, since it is smaller than the sum of its proper divisors (265123846917).

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

122381854848 is an frugal number, since it uses more digits than its factorization.

122381854848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 953 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 122381854848 in words is "one hundred twenty-two billion, three hundred eighty-one million, eight hundred fifty-four thousand, eight hundred forty-eight".