122343050201004 has 576 divisors, whose sum is σ = 347100708864000. Its totient is φ = 36179807639040.

The previous prime is 122343050201003. The next prime is 122343050201033. The reversal of 122343050201004 is 400102050343221.

122343050201004 is a `hidden beast` number, since 1 + 2 + 23 + 4 + 30 + 502 + 0 + 100 + 4 = 666.

122343050201004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122343050201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36271285062 + ... + 36271288434.

Almost surely, 2^{122343050201004} 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 122343050201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173550354432000).

122343050201004 is an abundant number, since it is smaller than the sum of its proper divisors (224757658662996).

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

122343050201004 is a wasteful number, since it uses less digits than its factorization.

122343050201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 122343050201004 in words is "one hundred twenty-two trillion, three hundred forty-three billion, fifty million, two hundred one thousand, four".