122129932288 has 448 divisors, whose sum is σ = 332923530240. Its totient is φ = 43392172032.

The previous prime is 122129932247. The next prime is 122129932289. The reversal of 122129932288 is 882239921221.

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 (122129932289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291479343 + ... + 291479761.

It is an arithmetic number, because the mean of its divisors is an integer number (743132880).

Almost surely, 2^122129932288 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 122129932288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166461765120).

122129932288 is an abundant number, since it is smaller than the sum of its proper divisors (210793597952).

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

122129932288 is a wasteful number, since it uses less digits than its factorization.

122129932288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 481 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

The spelling of 122129932288 in words is "one hundred twenty-two billion, one hundred twenty-nine million, nine hundred thirty-two thousand, two hundred eighty-eight".