122304341400 has 192 divisors, whose sum is σ = 399784828800. Its totient is φ = 30844800000.

The previous prime is 122304341371. The next prime is 122304341441. The reversal of 122304341400 is 4143403221.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842475 + ... + 6860325.

It is an arithmetic number, because the mean of its divisors is an integer number (2082212650).

Almost surely, 2^122304341400 is an apocalyptic number.

122304341400 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 122304341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199892414400).

122304341400 is an abundant number, since it is smaller than the sum of its proper divisors (277480487400).

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

122304341400 is a wasteful number, since it uses less digits than its factorization.

122304341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490 (or 18481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122304341400 its reverse (4143403221), we get a palindrome (126447744621).

The spelling of 122304341400 in words is "one hundred twenty-two billion, three hundred four million, three hundred forty-one thousand, four hundred".