122171505597312 has 128 divisors (see below), whose sum is σ = 327683452911360. Its totient is φ = 40326645215232.

The previous prime is 122171505597287. The next prime is 122171505597343. The reversal of 122171505597312 is 213795505171221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100162463 + ... + 1100273505.

It is an arithmetic number, because the mean of its divisors is an integer number (2560026975870).

Almost surely, 2^{122171505597312} is an apocalyptic number.

122171505597312 is a gapful number since it is divisible by the number (12) 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 122171505597312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163841726455680).

122171505597312 is an abundant number, since it is smaller than the sum of its proper divisors (205511947314048).

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

122171505597312 is a wasteful number, since it uses less digits than its factorization.

122171505597312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138980 (or 138968 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 51.

The spelling of 122171505597312 in words is "one hundred twenty-two trillion, one hundred seventy-one billion, five hundred five million, five hundred ninety-seven thousand, three hundred twelve".