121078800 has 300 divisors, whose sum is σ = 450705156. Its totient is φ = 31104000.

The previous prime is 121078787. The next prime is 121078817. The reversal of 121078800 is 8870121.

It can be written as a sum of positive squares in 6 ways, for example, as 16548624 + 104530176 = 4068^2 + 10224^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1198750 + ... + 1198850.

Almost surely, 2^121078800 is an apocalyptic number.

121078800 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 121078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225352578).

121078800 is an abundant number, since it is smaller than the sum of its proper divisors (329626356).

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

121078800 is a wasteful number, since it uses less digits than its factorization.

121078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 121078800 is about 11003.5812352161. The cubic root of 121078800 is about 494.7160906372.

The spelling of 121078800 in words is "one hundred twenty-one million, seventy-eight thousand, eight hundred".