122834880 has 280 divisors, whose sum is σ = 500103648. Its totient is φ = 28035072.

The previous prime is 122834879. The next prime is 122834903. The reversal of 122834880 is 88438221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×122834880² = 30176815489228800, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 181102 + ... + 181778.

Almost surely, 2^122834880 is an apocalyptic number.

122834880 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 122834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250051824).

122834880 is an abundant number, since it is smaller than the sum of its proper divisors (377268768).

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

122834880 is an equidigital number, since it uses as much as digits as its factorization.

122834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 122834880 is about 11083.0898218863. The cubic root of 122834880 is about 497.0963435334.

The spelling of 122834880 in words is "one hundred twenty-two million, eight hundred thirty-four thousand, eight hundred eighty".