122141200 has 30 divisors (see below), whose sum is σ = 293445194. Its totient is φ = 48856320.

The previous prime is 122141183. The next prime is 122141213. The reversal of 122141200 is 2141221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13897984 + 108243216 = 3728^2 + 10404^2 .

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 5 ways as a sum of consecutive naturals, for example, 152277 + ... + 153076.

Almost surely, 2^122141200 is an apocalyptic number.

122141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122141200 is an abundant number, since it is smaller than the sum of its proper divisors (171303994).

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

122141200 is a wasteful number, since it uses less digits than its factorization.

122141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305371 (or 305360 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122141200 is about 11051.7509924898. The cubic root of 122141200 is about 496.1588331068.

Adding to 122141200 its reverse (2141221), we get a palindrome (124282421).

The spelling of 122141200 in words is "one hundred twenty-two million, one hundred forty-one thousand, two hundred".