121282784 has 48 divisors (see below), whose sum is σ = 276661728. Its totient is φ = 51259392.

The previous prime is 121282783. The next prime is 121282807. The reversal of 121282784 is 487282121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121282783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12644 + ... + 20060.

It is an arithmetic number, because the mean of its divisors is an integer number (5763786).

Almost surely, 2^121282784 is an apocalyptic number.

121282784 is a gapful number since it is divisible by the number (14) 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 121282784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138330864).

121282784 is an abundant number, since it is smaller than the sum of its proper divisors (155378944).

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

121282784 is an equidigital number, since it uses as much as digits as its factorization.

121282784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7507 (or 7499 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 121282784 is about 11012.8463169155. The cubic root of 121282784 is about 494.9937543000.

The spelling of 121282784 in words is "one hundred twenty-one million, two hundred eighty-two thousand, seven hundred eighty-four".