121516128 has 108 divisors (see below), whose sum is σ = 355606524. Its totient is φ = 39360000.

The previous prime is 121516127. The next prime is 121516139. The reversal of 121516128 is 821615121.

121516128 is a `hidden beast` number, since 1 + 21 + 516 + 128 = 666.

It is a super-2 number, since 2×121516128² = 29532338728224768, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121516127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 484003 + ... + 484253.

It is an arithmetic number, because the mean of its divisors is an integer number (3292653).

Almost surely, 2^121516128 is an apocalyptic number.

121516128 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 121516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177803262).

121516128 is an abundant number, since it is smaller than the sum of its proper divisors (234090396).

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

121516128 is a wasteful number, since it uses less digits than its factorization.

121516128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 297 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 121516128 is about 11023.4353991848. The cubic root of 121516128 is about 495.3110013780.

The spelling of 121516128 in words is "one hundred twenty-one million, five hundred sixteen thousand, one hundred twenty-eight".