122566080 has 448 divisors, whose sum is σ = 507967488. Its totient is φ = 24330240.

The previous prime is 122566063. The next prime is 122566109. The reversal of 122566080 is 80665221.

It is a tau number, because it is divible by the number of its divisors (448).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2009250 + ... + 2009310.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^122566080 is an apocalyptic number.

122566080 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 122566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253983744).

122566080 is an abundant number, since it is smaller than the sum of its proper divisors (385401408).

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

122566080 is a wasteful number, since it uses less digits than its factorization.

122566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 122566080 is about 11070.9565982349. The cubic root of 122566080 is about 496.7334794933.

It can be divided in two parts, 12256 and 6080, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 122566080 in words is "one hundred twenty-two million, five hundred sixty-six thousand, eighty".