122880000 has 170 divisors, whose sum is σ = 409465804. Its totient is φ = 32768000.

The previous prime is 122879971. The next prime is 122880013. The reversal of 122880000 is 88221.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24575998 + ... + 24576002.

Almost surely, 2^122880000 is an apocalyptic number.

122880000 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 122880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204732902).

122880000 is an abundant number, since it is smaller than the sum of its proper divisors (286585804).

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

122880000 is an frugal number, since it uses more digits than its factorization.

122880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 122880000 is about 11085.1251684408. The cubic root of 122880000 is about 497.1572009526.

The spelling of 122880000 in words is "one hundred twenty-two million, eight hundred eighty thousand".