121728016 has 40 divisors (see below), whose sum is σ = 244218744. Its totient is φ = 58736640.

The previous prime is 121727989. The next prime is 121728017. The reversal of 121728016 is 610827121.

It can be written as a sum of positive squares in 4 ways, for example, as 10214416 + 111513600 = 3196^2 + 10560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121728017) 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, 62676 + ... + 64588.

Almost surely, 2^121728016 is an apocalyptic number.

121728016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121728016 is an abundant number, since it is smaller than the sum of its proper divisors (122490728).

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

121728016 is a wasteful number, since it uses less digits than its factorization.

121728016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 121728016 is about 11033.0420102527. The cubic root of 121728016 is about 495.5987259169.

The spelling of 121728016 in words is "one hundred twenty-one million, seven hundred twenty-eight thousand, sixteen".