121753728 has 96 divisors (see below), whose sum is σ = 371028060. Its totient is φ = 38191104.

The previous prime is 121753727. The next prime is 121753733. The reversal of 121753728 is 827357121.

It can be written as a sum of positive squares in 2 ways, for example, as 113039424 + 8714304 = 10632^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121753692 and 121753701.

It is not an unprimeable number, because it can be changed into a prime (121753727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16476 + ... + 22692.

Almost surely, 2^121753728 is an apocalyptic number.

121753728 is a gapful number since it is divisible by the number (18) 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 121753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185514030).

121753728 is an abundant number, since it is smaller than the sum of its proper divisors (249274332).

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

121753728 is a wasteful number, since it uses less digits than its factorization.

121753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6239 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 121753728 is about 11034.2071758690. The cubic root of 121753728 is about 495.6336177404.

It can be divided in two parts, 1217 and 53728, that added together give a palindrome (54945).

The spelling of 121753728 in words is "one hundred twenty-one million, seven hundred fifty-three thousand, seven hundred twenty-eight".