121243680 has 144 divisors (see below), whose sum is σ = 416608920. Its totient is φ = 32108544.

The previous prime is 121243679. The next prime is 121243687. The reversal of 121243680 is 86342121.

It can be written as a sum of positive squares in 4 ways, for example, as 26998416 + 94245264 = 5196^2 + 9708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (121243687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387204 + ... + 387516.

Almost surely, 2^121243680 is an apocalyptic number.

121243680 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 121243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208304460).

121243680 is an abundant number, since it is smaller than the sum of its proper divisors (295365240).

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

121243680 is a wasteful number, since it uses less digits than its factorization.

121243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121243680 is about 11011.0707926159. The cubic root of 121243680 is about 494.9405499463.

The spelling of 121243680 in words is "one hundred twenty-one million, two hundred forty-three thousand, six hundred eighty".