122700104064 has 192 divisors, whose sum is σ = 361115202240. Its totient is φ = 39972077568.

The previous prime is 122700104057. The next prime is 122700104069. The reversal of 122700104064 is 460401007221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122700104069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53980432 + ... + 53982704.

It is an arithmetic number, because the mean of its divisors is an integer number (1880808345).

Almost surely, 2^122700104064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122700104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180557601120).

122700104064 is an abundant number, since it is smaller than the sum of its proper divisors (238415098176).

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

122700104064 is a wasteful number, since it uses less digits than its factorization.

122700104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 122700104064 in words is "one hundred twenty-two billion, seven hundred million, one hundred four thousand, sixty-four".