121466800 has 240 divisors, whose sum is σ = 371976192. Its totient is φ = 37094400.

The previous prime is 121466789. The next prime is 121466801. The reversal of 121466800 is 8664121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (121466801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710765 + ... + 1710835.

Almost surely, 2^121466800 is an apocalyptic number.

121466800 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 121466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185988096).

121466800 is an abundant number, since it is smaller than the sum of its proper divisors (250509392).

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

121466800 is a wasteful number, since it uses less digits than its factorization.

121466800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 121466800 is about 11021.1977570498. The cubic root of 121466800 is about 495.2439704736.

The spelling of 121466800 in words is "one hundred twenty-one million, four hundred sixty-six thousand, eight hundred".