121188240 has 120 divisors (see below), whose sum is σ = 430974648. Its totient is φ = 30412800.

The previous prime is 121188227. The next prime is 121188253. The reversal of 121188240 is 42881121.

It is an interprime number because it is at equal distance from previous prime (121188227) and next prime (121188253).

It can be written as a sum of positive squares in 4 ways, for example, as 57699216 + 63489024 = 7596^2 + 7968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7290 + ... + 17190.

Almost surely, 2^121188240 is an apocalyptic number.

121188240 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 121188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215487324).

121188240 is an abundant number, since it is smaller than the sum of its proper divisors (309786408).

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

121188240 is a wasteful number, since it uses less digits than its factorization.

121188240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 121188240 is about 11008.5530384333. The cubic root of 121188240 is about 494.8650994500.

The spelling of 121188240 in words is "one hundred twenty-one million, one hundred eighty-eight thousand, two hundred forty".