122412530400 has 144 divisors (see below), whose sum is σ = 398784569904. Its totient is φ = 32616161280.

The previous prime is 122412530399. The next prime is 122412530441. The reversal of 122412530400 is 4035214221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2948184 + ... + 2989416.

It is an arithmetic number, because the mean of its divisors is an integer number (2769337291).

Almost surely, 2^122412530400 is an apocalyptic number.

122412530400 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 122412530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199392284952).

122412530400 is an abundant number, since it is smaller than the sum of its proper divisors (276372039504).

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

122412530400 is a wasteful number, since it uses less digits than its factorization.

122412530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42493 (or 42480 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 122412530400 its reverse (4035214221), we get a palindrome (126447744621).

The spelling of 122412530400 in words is "one hundred twenty-two billion, four hundred twelve million, five hundred thirty thousand, four hundred".