122986080 has 384 divisors, whose sum is σ = 508032000. Its totient is φ = 27772416.

The previous prime is 122986057. The next prime is 122986099. The reversal of 122986080 is 80689221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481719 + ... + 1481801.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^122986080 is an apocalyptic number.

122986080 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 122986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

122986080 is an abundant number, since it is smaller than the sum of its proper divisors (385045920).

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

122986080 is an equidigital number, since it uses as much as digits as its factorization.

122986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 122986080 is about 11089.9089265873. The cubic root of 122986080 is about 497.3002219680.

The spelling of 122986080 in words is "one hundred twenty-two million, nine hundred eighty-six thousand, eighty".