122450409648 has 360 divisors, whose sum is σ = 407523916800. Its totient is φ = 34212665088.

The previous prime is 122450409623. The next prime is 122450409659. The reversal of 122450409648 is 846904054221.

It is a happy number.

122450409648 is a `hidden beast` number, since 12 + 2 + 4 + 504 + 0 + 96 + 48 = 666.

It is a super-2 number, since 2×122450409648² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 92835133 + ... + 92836451.

It is an arithmetic number, because the mean of its divisors is an integer number (1132010880).

Almost surely, 2^122450409648 is an apocalyptic number.

122450409648 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 122450409648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203761958400).

122450409648 is an abundant number, since it is smaller than the sum of its proper divisors (285073507152).

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

122450409648 is a wasteful number, since it uses less digits than its factorization.

122450409648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 122450409648 in words is "one hundred twenty-two billion, four hundred fifty million, four hundred nine thousand, six hundred forty-eight".