122060800 has 96 divisors (see below), whose sum is σ = 304737750. Its totient is φ = 48496640.

The previous prime is 122060779. The next prime is 122060803. The reversal of 122060800 is 8060221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 65028096 + 57032704 = 8064^2 + 7552^2 .

It is not an unprimeable number, because it can be changed into a prime (122060803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 819126 + ... + 819274.

Almost surely, 2^122060800 is an apocalyptic number.

122060800 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 122060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152368875).

122060800 is an abundant number, since it is smaller than the sum of its proper divisors (182676950).

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

122060800 is an frugal number, since it uses more digits than its factorization.

122060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 122060800 is about 11048.1129610445. The cubic root of 122060800 is about 496.0499429419.

The spelling of 122060800 in words is "one hundred twenty-two million, sixty thousand, eight hundred".