122100464834208 has 1536 divisors, whose sum is σ = 449524712448000. Its totient is φ = 31457341440000.

The previous prime is 122100464834207. The next prime is 122100464834279. The reversal of 122100464834208 is 802438464001221.

122100464834208 is a `hidden beast` number, since 1 + 2 + 2 + 100 + 46 + 4 + 83 + 420 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (122100464834207) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 94578206043 + ... + 94578207333.

It is an arithmetic number, because the mean of its divisors is an integer number (292659318000).

Almost surely, 2^{122100464834208} is an apocalyptic number.

122100464834208 is a gapful number since it is divisible by the number (18) 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 122100464834208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224762356224000).

122100464834208 is an abundant number, since it is smaller than the sum of its proper divisors (327424247613792).

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

122100464834208 is a wasteful number, since it uses less digits than its factorization.

122100464834208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 122100464834208 in words is "one hundred twenty-two trillion, one hundred billion, four hundred sixty-four million, eight hundred thirty-four thousand, two hundred eight".