| Base | Representation |
|---|---|
| bin | 1110100000101… |
| … | …10000000000000 |
| 3 | 22111001021012200 |
| 4 | 13100112000000 |
| 5 | 222130144203 |
| 6 | 20024553200 |
| 7 | 3005434113 |
| oct | 720260000 |
| 9 | 274037180 |
| 10 | 121724928 |
| 11 | 6278a816 |
| 12 | 34922800 |
| 13 | 1c2ac0b0 |
| 14 | 1224857a |
| 15 | aa469a3 |
| hex | 7416000 |
121724928 has 168 divisors, whose sum is σ = 381658368. Its totient is φ = 37158912.
The previous prime is 121724927. The next prime is 121724929. The reversal of 121724928 is 829427121.
It is an interprime number because it is at equal distance from previous prime (121724927) and next prime (121724929).
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 = 121724892 and 121724901.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121724927) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958401 + ... + 958527.
It is an arithmetic number, because the mean of its divisors is an integer number (2271776).
Almost surely, 2121724928 is an apocalyptic number.
121724928 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 121724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190829184).
121724928 is an abundant number, since it is smaller than the sum of its proper divisors (259933440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121724928 is a wasteful number, since it uses less digits than its factorization.
121724928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 172 (or 145 counting only the distinct ones).
The product of its digits is 16128, while the sum is 36.
The square root of 121724928 is about 11032.9020660930. The cubic root of 121724928 is about 495.5945350936.
The spelling of 121724928 in words is "one hundred twenty-one million, seven hundred twenty-four thousand, nine hundred twenty-eight".
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