122353701752072 has 256 divisors, whose sum is σ = 270296830003200. Its totient is φ = 50847716874240.

The previous prime is 122353701752071. The next prime is 122353701752099. The reversal of 122353701752072 is 270257107353221.

It is not an unprimeable number, because it can be changed into a prime (122353701752071) 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 63 ways as a sum of consecutive naturals, for example, 46753419308 + ... + 46753421924.

It is an arithmetic number, because the mean of its divisors is an integer number (1055846992200).

Almost surely, 2^{122353701752072} 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 122353701752072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135148415001600).

122353701752072 is an abundant number, since it is smaller than the sum of its proper divisors (147943128251128).

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

122353701752072 is a wasteful number, since it uses less digits than its factorization.

122353701752072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 47.

The spelling of 122353701752072 in words is "one hundred twenty-two trillion, three hundred fifty-three billion, seven hundred one million, seven hundred fifty-two thousand, seventy-two".