121345728 has 224 divisors, whose sum is σ = 400287744. Its totient is φ = 31653888.

The previous prime is 121345727. The next prime is 121345729. The reversal of 121345728 is 827543121.

It is an interprime number because it is at equal distance from previous prime (121345727) and next prime (121345729).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121345727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073800 + ... + 1073912.

Almost surely, 2^121345728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200143872).

121345728 is an abundant number, since it is smaller than the sum of its proper divisors (278942016).

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

121345728 is a wasteful number, since it uses less digits than its factorization.

121345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 121345728 is about 11015.7036997189. The cubic root of 121345728 is about 495.0793710089.

Adding to 121345728 its reverse (827543121), we get a palindrome (948888849).

The spelling of 121345728 in words is "one hundred twenty-one million, three hundred forty-five thousand, seven hundred twenty-eight".