122104224000 has 432 divisors, whose sum is σ = 479321466624. Its totient is φ = 29600256000.

The previous prime is 122104223959. The next prime is 122104224029. The reversal of 122104224000 is 422401221.

122104224000 is a `hidden beast` number, since 1 + 221 + 0 + 42 + 2 + 400 + 0 = 666.

122104224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3148729 + ... + 3187271.

It is an arithmetic number, because the mean of its divisors is an integer number (1109540432).

Almost surely, 2^122104224000 is an apocalyptic number.

122104224000 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 122104224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239660733312).

122104224000 is an abundant number, since it is smaller than the sum of its proper divisors (357217242624).

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

122104224000 is a wasteful number, since it uses less digits than its factorization.

122104224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38591 (or 38564 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122104224000 its reverse (422401221), we get a palindrome (122526625221).

It can be divided in two parts, 12 and 2104224000, that added together give a palindrome (2104224012).

The spelling of 122104224000 in words is "one hundred twenty-two billion, one hundred four million, two hundred twenty-four thousand".