122024034400 has 144 divisors (see below), whose sum is σ = 327204057600. Its totient is φ = 44230095360.

The previous prime is 122024034361. The next prime is 122024034403. The reversal of 122024034400 is 4430420221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122024034403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175081 + ... + 524119.

It is an arithmetic number, because the mean of its divisors is an integer number (2272250400).

Almost surely, 2^122024034400 is an apocalyptic number.

122024034400 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 122024034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163602028800).

122024034400 is an abundant number, since it is smaller than the sum of its proper divisors (205180023200).

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

122024034400 is a wasteful number, since it uses less digits than its factorization.

122024034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349101 (or 349088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 122024034400 its reverse (4430420221), we get a palindrome (126454454621).

The spelling of 122024034400 in words is "one hundred twenty-two billion, twenty-four million, thirty-four thousand, four hundred".