122259284160 has 448 divisors, whose sum is σ = 435359885184. Its totient is φ = 28871884800.

The previous prime is 122259284129. The next prime is 122259284167. The reversal of 122259284160 is 61482952221.

It is not an unprimeable number, because it can be changed into a prime (122259284167) 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, 31210522 + ... + 31214438.

It is an arithmetic number, because the mean of its divisors is an integer number (971785458).

Almost surely, 2^122259284160 is an apocalyptic number.

122259284160 is a gapful number since it is divisible by the number (10) 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 122259284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217679942592).

122259284160 is an abundant number, since it is smaller than the sum of its proper divisors (313100601024).

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

122259284160 is a wasteful number, since it uses less digits than its factorization.

122259284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 122259284160 in words is "one hundred twenty-two billion, two hundred fifty-nine million, two hundred eighty-four thousand, one hundred sixty".