122828160 has 512 divisors, whose sum is σ = 520934400. Its totient is φ = 23887872.

The previous prime is 122828149. The next prime is 122828183. The reversal of 122828160 is 61828221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3319662 + ... + 3319698.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^122828160 is an apocalyptic number.

122828160 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 122828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

122828160 is an abundant number, since it is smaller than the sum of its proper divisors (398106240).

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

122828160 is a wasteful number, since it uses less digits than its factorization.

122828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 122828160 is about 11082.7866531843. The cubic root of 122828160 is about 497.0872783875.

The spelling of 122828160 in words is "one hundred twenty-two million, eight hundred twenty-eight thousand, one hundred sixty".