122142101312 has 448 divisors, whose sum is σ = 339893452800. Its totient is φ = 42088273920.

The previous prime is 122142101299. The next prime is 122142101317. The reversal of 122142101312 is 213101241221.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142101317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92601389 + ... + 92602707.

Almost surely, 2^122142101312 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 122142101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169946726400).

122142101312 is an abundant number, since it is smaller than the sum of its proper divisors (217751351488).

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

122142101312 is a wasteful number, since it uses less digits than its factorization.

122142101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122142101312 its reverse (213101241221), we get a palindrome (335243342533).

The spelling of 122142101312 in words is "one hundred twenty-two billion, one hundred forty-two million, one hundred one thousand, three hundred twelve".