122051328 has 144 divisors (see below), whose sum is σ = 377534976. Its totient is φ = 34283520.

The previous prime is 122051299. The next prime is 122051357. The reversal of 122051328 is 823150221.

It is an interprime number because it is at equal distance from previous prime (122051299) and next prime (122051357).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122051298 and 122051307.

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 15 ways as a sum of consecutive naturals, for example, 392293 + ... + 392603.

Almost surely, 2^122051328 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 122051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188767488).

122051328 is an abundant number, since it is smaller than the sum of its proper divisors (255483648).

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

122051328 is an equidigital number, since it uses as much as digits as its factorization.

122051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 122051328 is about 11047.6842822376. The cubic root of 122051328 is about 496.0371113405.

The spelling of 122051328 in words is "one hundred twenty-two million, fifty-one thousand, three hundred twenty-eight".