122001140448 has 216 divisors, whose sum is σ = 387047259144. Its totient is φ = 36417553920.

The previous prime is 122001140431. The next prime is 122001140479. The reversal of 122001140448 is 844041100221.

122001140448 is a `hidden beast` number, since 1 + 2 + 200 + 1 + 14 + 0 + 448 = 666.

It is a super-2 number, since 2×122001140448² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2308690 + ... + 2360942.

It is an arithmetic number, because the mean of its divisors is an integer number (1791885459).

Almost surely, 2^122001140448 is an apocalyptic number.

122001140448 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 122001140448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193523629572).

122001140448 is an abundant number, since it is smaller than the sum of its proper divisors (265046118696).

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

122001140448 is a wasteful number, since it uses less digits than its factorization.

122001140448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52358 (or 52336 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 122001140448 its reverse (844041100221), we get a palindrome (966042240669).

The spelling of 122001140448 in words is "one hundred twenty-two billion, one million, one hundred forty thousand, four hundred forty-eight".