121645800 has 144 divisors (see below), whose sum is σ = 423827040. Its totient is φ = 32425920.

The previous prime is 121645793. The next prime is 121645801. The reversal of 121645800 is 8546121.

121645800 is a `hidden beast` number, since 1 + 21 + 64 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121645801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47349 + ... + 49851.

Almost surely, 2^121645800 is an apocalyptic number.

121645800 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 121645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211913520).

121645800 is an abundant number, since it is smaller than the sum of its proper divisors (302181240).

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

121645800 is a wasteful number, since it uses less digits than its factorization.

121645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121645800 is about 11029.3154819327. The cubic root of 121645800 is about 495.4871237757.

The spelling of 121645800 in words is "one hundred twenty-one million, six hundred forty-five thousand, eight hundred".