122827840128 has 320 divisors, whose sum is σ = 419096800320. Its totient is φ = 34980802560.

The previous prime is 122827840087. The next prime is 122827840133. The reversal of 122827840128 is 821048728221.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24020100 + ... + 24025212.

It is an arithmetic number, because the mean of its divisors is an integer number (1309677501).

Almost surely, 2^122827840128 is an apocalyptic number.

122827840128 is a gapful number since it is divisible by the number (18) 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 122827840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209548400160).

122827840128 is an abundant number, since it is smaller than the sum of its proper divisors (296268960192).

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

122827840128 is an equidigital number, since it uses as much as digits as its factorization.

122827840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 122827840128 in words is "one hundred twenty-two billion, eight hundred twenty-seven million, eight hundred forty thousand, one hundred twenty-eight".