122450442400 has 576 divisors, whose sum is σ = 377030868480. Its totient is φ = 38146867200.

The previous prime is 122450442397. The next prime is 122450442431. The reversal of 122450442400 is 4244054221.

122450442400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122450442400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153638802 + ... + 153639598.

It is an arithmetic number, because the mean of its divisors is an integer number (654567480).

Almost surely, 2^122450442400 is an apocalyptic number.

122450442400 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 122450442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188515434240).

122450442400 is an abundant number, since it is smaller than the sum of its proper divisors (254580426080).

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

122450442400 is a wasteful number, since it uses less digits than its factorization.

122450442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 122450442400 its reverse (4244054221), we get a palindrome (126694496621).

The spelling of 122450442400 in words is "one hundred twenty-two billion, four hundred fifty million, four hundred forty-two thousand, four hundred".