122881080 has 128 divisors (see below), whose sum is σ = 423751680. Its totient is φ = 27924480.

The previous prime is 122881079. The next prime is 122881093. The reversal of 122881080 is 80188221.

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 31 ways as a sum of consecutive naturals, for example, 202137 + ... + 202743.

It is an arithmetic number, because the mean of its divisors is an integer number (3310560).

Almost surely, 2^122881080 is an apocalyptic number.

122881080 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 122881080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211875840).

122881080 is an abundant number, since it is smaller than the sum of its proper divisors (300870600).

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

122881080 is a wasteful number, since it uses less digits than its factorization.

122881080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 122881080 is about 11085.1738822627. The cubic root of 122881080 is about 497.1586574636.

The spelling of 122881080 in words is "one hundred twenty-two million, eight hundred eighty-one thousand, eighty".