122210880 has 224 divisors, whose sum is σ = 431889408. Its totient is φ = 29030400.

The previous prime is 122210861. The next prime is 122210899. The reversal of 122210880 is 88012221.

It is an interprime number because it is at equal distance from previous prime (122210861) and next prime (122210899).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122210880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749679 + ... + 749841.

Almost surely, 2^122210880 is an apocalyptic number.

122210880 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 122210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215944704).

122210880 is an abundant number, since it is smaller than the sum of its proper divisors (309678528).

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

122210880 is a wasteful number, since it uses less digits than its factorization.

122210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 122210880 is about 11054.9029846489. The cubic root of 122210880 is about 496.2531659369.

The spelling of 122210880 in words is "one hundred twenty-two million, two hundred ten thousand, eight hundred eighty".