121098240 has 260 divisors, whose sum is σ = 440053284. Its totient is φ = 31850496.

The previous prime is 121098227. The next prime is 121098253. The reversal of 121098240 is 42890121.

It is an interprime number because it is at equal distance from previous prime (121098227) and next prime (121098253).

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 65028096 = 7488^2 + 8064^2 .

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1658844 + ... + 1658916.

Almost surely, 2^121098240 is an apocalyptic number.

121098240 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 121098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220026642).

121098240 is an abundant number, since it is smaller than the sum of its proper divisors (318955044).

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

121098240 is an frugal number, since it uses more digits than its factorization.

121098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121098240 is about 11004.4645485367. The cubic root of 121098240 is about 494.7425658642.

The spelling of 121098240 in words is "one hundred twenty-one million, ninety-eight thousand, two hundred forty".