121829220 has 36 divisors (see below), whose sum is σ = 369549180. Its totient is φ = 32487744.

The previous prime is 121829209. The next prime is 121829221. The reversal of 121829220 is 22928121.

It can be written as a sum of positive squares in 2 ways, for example, as 14333796 + 107495424 = 3786^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (121829221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338235 + ... + 338594.

It is an arithmetic number, because the mean of its divisors is an integer number (10265255).

Almost surely, 2^121829220 is an apocalyptic number.

121829220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121829220 is an abundant number, since it is smaller than the sum of its proper divisors (247719960).

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

121829220 is a wasteful number, since it uses less digits than its factorization.

121829220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676844 (or 676839 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121829220 is about 11037.6274624577. The cubic root of 121829220 is about 495.7360338858.

The spelling of 121829220 in words is "one hundred twenty-one million, eight hundred twenty-nine thousand, two hundred twenty".