122881220 has 72 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 38297280.

The previous prime is 122881211. The next prime is 122881271. The reversal of 122881220 is 22188221.

122881220 = T₂₂₁₅ + T₂₂₁₆ + ... + T₂₂₆₃.

It is a self number, because there is not a number n which added to its sum of digits gives 122881220.

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 23 ways as a sum of consecutive naturals, for example, 5081 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (4548600).

Almost surely, 2^122881220 is an apocalyptic number.

122881220 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 122881220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

122881220 is an abundant number, since it is smaller than the sum of its proper divisors (204617980).

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

122881220 is a wasteful number, since it uses less digits than its factorization.

122881220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 122881220 is about 11085.1801970018. The cubic root of 122881220 is about 497.1588462699.

The spelling of 122881220 in words is "one hundred twenty-two million, eight hundred eighty-one thousand, two hundred twenty".