121098400 has 144 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 44236800.

The previous prime is 121098349. The next prime is 121098407. The reversal of 121098400 is 4890121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (121098407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471072 + ... + 471328.

It is an arithmetic number, because the mean of its divisors is an integer number (2239440).

Almost surely, 2^121098400 is an apocalyptic number.

121098400 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 121098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

121098400 is an abundant number, since it is smaller than the sum of its proper divisors (201380960).

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

121098400 is a wasteful number, since it uses less digits than its factorization.

121098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 121098400 is about 11004.4718183110. The cubic root of 121098400 is about 494.7427837556.

The spelling of 121098400 in words is "one hundred twenty-one million, ninety-eight thousand, four hundred".