122062080 has 288 divisors, whose sum is σ = 470937600. Its totient is φ = 26320896.

The previous prime is 122062067. The next prime is 122062121. The reversal of 122062080 is 80260221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510601 + ... + 510839.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 2^122062080 is an apocalyptic number.

122062080 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 122062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800).

122062080 is an abundant number, since it is smaller than the sum of its proper divisors (348875520).

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

122062080 is a wasteful number, since it uses less digits than its factorization.

122062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122062080 is about 11048.1708893373. The cubic root of 122062080 is about 496.0516768911.

The spelling of 122062080 in words is "one hundred twenty-two million, sixty-two thousand, eighty".