122836230400 has 243 divisors, whose sum is σ = 330205344021. Its totient is φ = 45220331520.

The previous prime is 122836230373. The next prime is 122836230449. The reversal of 122836230400 is 4032638221.

The square root of 122836230400 is 350480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 122813800704 + 22429696 = 350448^2 + 4736^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 364499032 + ... + 364499368.

Almost surely, 2^122836230400 is an apocalyptic number.

122836230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122836230400 is the 350480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122836230400

122836230400 is an abundant number, since it is smaller than the sum of its proper divisors (207369113621).

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

122836230400 is an frugal number, since it uses more digits than its factorization.

122836230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 122836230400 its reverse (4032638221), we get a palindrome (126868868621).

The spelling of 122836230400 in words is "one hundred twenty-two billion, eight hundred thirty-six million, two hundred thirty thousand, four hundred".