121826800 has 60 divisors (see below), whose sum is σ = 294773296. Its totient is φ = 48384000.

The previous prime is 121826779. The next prime is 121826833. The reversal of 121826800 is 8628121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59392 + ... + 61408.

Almost surely, 2^121826800 is an apocalyptic number.

121826800 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 121826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147386648).

121826800 is an abundant number, since it is smaller than the sum of its proper divisors (172946496).

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

121826800 is a wasteful number, since it uses less digits than its factorization.

121826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 121826800 is about 11037.5178369052. The cubic root of 121826800 is about 495.7327514518.

The spelling of 121826800 in words is "one hundred twenty-one million, eight hundred twenty-six thousand, eight hundred".