122238105600 has 864 divisors, whose sum is σ = 464990394960. Its totient is φ = 28217180160.

The previous prime is 122238105599. The next prime is 122238105637. The reversal of 122238105600 is 6501832221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 441292662 + ... + 441292938.

Almost surely, 2^122238105600 is an apocalyptic number.

122238105600 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 122238105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232495197480).

122238105600 is an abundant number, since it is smaller than the sum of its proper divisors (342752289360).

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

122238105600 is a wasteful number, since it uses less digits than its factorization.

122238105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 122238105600 its reverse (6501832221), we get a palindrome (128739937821).

The spelling of 122238105600 in words is "one hundred twenty-two billion, two hundred thirty-eight million, one hundred five thousand, six hundred".