121382560 has 108 divisors (see below), whose sum is σ = 315225918. Its totient is φ = 44149248.

The previous prime is 121382543. The next prime is 121382579. The reversal of 121382560 is 65283121.

It can be written as a sum of positive squares in 3 ways, for example, as 52359696 + 69022864 = 7236^2 + 8308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1811647 + ... + 1811713.

Almost surely, 2^121382560 is an apocalyptic number.

121382560 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 121382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157612959).

121382560 is an abundant number, since it is smaller than the sum of its proper divisors (193843358).

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

121382560 is an equidigital number, since it uses as much as digits as its factorization.

121382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 121382560 is about 11017.3753680266. The cubic root of 121382560 is about 495.1294563287.

The spelling of 121382560 in words is "one hundred twenty-one million, three hundred eighty-two thousand, five hundred sixty".